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145462350 = 235211233833
BaseRepresentation
bin10001010101110…
…01010001001110
3101010201020211110
420222321101032
5244214243400
622233432450
73414260325
oct1052712116
9333636743
10145462350
1175123020
124086b726
13241a06c7
14154670bc
15cb84e50
hex8ab944e

145462350 has 96 divisors (see below), whose sum is σ = 410759424. Its totient is φ = 33721600.

The previous prime is 145462333. The next prime is 145462351. The reversal of 145462350 is 53264541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145462351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36034 + ... + 39866.

It is an arithmetic number, because the mean of its divisors is an integer number (4278744).

Almost surely, 2145462350 is an apocalyptic number.

145462350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145462350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205379712).

145462350 is an abundant number, since it is smaller than the sum of its proper divisors (265297074).

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

145462350 is a wasteful number, since it uses less digits than its factorization.

145462350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 145462350 is about 12060.7773381321. Note that the first 3 decimals coincide. The cubic root of 145462350 is about 525.9165847667.

The spelling of 145462350 in words is "one hundred forty-five million, four hundred sixty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 138 150 165 230 253 275 330 345 506 550 575 690 759 825 1150 1265 1518 1650 1725 2530 3450 3795 3833 6325 7590 7666 11499 12650 18975 19165 22998 37950 38330 42163 57495 84326 88159 95825 114990 126489 176318 191650 210815 252978 264477 287475 421630 440795 528954 574950 632445 881590 969749 1054075 1264890 1322385 1939498 2108150 2203975 2644770 2909247 3162225 4407950 4848745 5818494 6324450 6611925 9697490 13223850 14546235 24243725 29092470 48487450 72731175 145462350