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1047464145 = 3257131791429
BaseRepresentation
bin111110011011110…
…000100011010001
32200222222200200100
4332123300203101
54121122323040
6251534443013
734646204220
oct7633604321
92628880610
101047464145
114982a2352
12252963469
13139018290
149d184cb7
1561e59b30
hex3e6f08d1

1047464145 has 96 divisors (see below), whose sum is σ = 2248646400. Its totient is φ = 439229952.

The previous prime is 1047464113. The next prime is 1047464147. The reversal of 1047464145 is 5414647401.

It is a happy number.

1047464145 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 4 + 641 + 4 + 5 = 666.

It is not a de Polignac number, because 1047464145 - 25 = 1047464113 is a prime.

It is a super-2 number, since 2×10474641452 = 2194362270121162050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1047464147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732291 + ... + 733719.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 21047464145 is an apocalyptic number.

1047464145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1047464145 is an abundant number, since it is smaller than the sum of its proper divisors (1201182255).

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

1047464145 is a wasteful number, since it uses less digits than its factorization.

1047464145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1047464145 is about 32364.5507461482. The cubic root of 1047464145 is about 1015.5774642777.

The spelling of 1047464145 in words is "one billion, forty-seven million, four hundred sixty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 179 195 273 315 455 537 585 819 895 1253 1365 1429 1611 2327 2685 3759 4095 4287 6265 6981 7145 8055 10003 11277 11635 12861 16289 18577 18795 20943 21435 30009 34905 48867 50015 55731 56385 64305 81445 90027 92885 104715 130039 146601 150045 167193 244335 255791 278655 390117 450135 650195 733005 767373 835965 1170351 1278955 1790537 1950585 2302119 3325283 3836865 5371611 5851755 8952685 9975849 11510595 16114833 16626415 23276981 26858055 29927547 49879245 69830943 80574165 116384905 149637735 209492829 349154715 1047464145