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1025451252 = 22357295197
BaseRepresentation
bin111101000111110…
…010010011110100
32122110120022200000
4331013302103310
54100003420002
6245430551300
734261122540
oct7507622364
92573508600
101025451252
11486927781
12247508530
131345ab8b7
149a294a20
156005c61c
hex3d1f24f4

1025451252 has 144 divisors (see below), whose sum is σ = 3178680960. Its totient is φ = 282828672.

The previous prime is 1025451239. The next prime is 1025451253. The reversal of 1025451252 is 2521545201.

1025451252 is a `hidden beast` number, since 102 + 545 + 12 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025451253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194718 + ... + 199914.

Almost surely, 21025451252 is an apocalyptic number.

1025451252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025451252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589340480).

1025451252 is an abundant number, since it is smaller than the sum of its proper divisors (2153229708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025451252 is a wasteful number, since it uses less digits than its factorization.

1025451252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1025451252 is about 32022.6677839308. The cubic root of 1025451252 is about 1008.4127773726.

Adding to 1025451252 its reverse (2521545201), we get a palindrome (3546996453).

The spelling of 1025451252 in words is "one billion, twenty-five million, four hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 972 1044 1134 1218 1566 1701 1827 2268 2349 2436 3132 3402 3654 4698 5197 5481 6804 7047 7308 9396 10394 10962 14094 15591 16443 20788 21924 28188 31182 32886 36379 46773 49329 62364 65772 72758 93546 98658 109137 140319 145516 150713 187092 197316 218274 280638 301426 327411 420957 436548 452139 561276 602852 654822 841914 904278 982233 1054991 1262871 1309644 1356417 1683828 1808556 1964466 2109982 2525742 2712834 2946699 3164973 3928932 4069251 4219964 5051484 5425668 5893398 6329946 8138502 8840097 9494919 11786796 12207753 12659892 16277004 17680194 18989838 24415506 28484757 35360388 36623259 37979676 48831012 56969514 73246518 85454271 113939028 146493036 170908542 256362813 341817084 512725626 1025451252