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537845832 = 23342928621
BaseRepresentation
bin100000000011101…
…110000001001000
31101111001101210000
4200003232001020
52100142031312
6125211523000
716220420436
oct4003560110
91344041700
10537845832
11256666597
12130159460
1387576294
1451607d56
1532341adc
hex200ee048

537845832 has 80 divisors (see below), whose sum is σ = 1558467900. Its totient is φ = 173093760.

The previous prime is 537845807. The next prime is 537845837. The reversal of 537845832 is 238548735.

537845832 is a `hidden beast` number, since 537 + 84 + 5 + 8 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 479872836 + 57972996 = 21906^2 + 7614^2 .

It is not an unprimeable number, because it can be changed into a prime (537845837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4482 + ... + 33102.

Almost surely, 2537845832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537845832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779233950).

537845832 is an abundant number, since it is smaller than the sum of its proper divisors (1020622068).

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

537845832 is a wasteful number, since it uses less digits than its factorization.

537845832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28668 (or 28655 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 537845832 is about 23191.5034441495. The cubic root of 537845832 is about 813.2410064208.

The spelling of 537845832 in words is "five hundred thirty-seven million, eight hundred forty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 18792 28621 57242 85863 114484 171726 228968 257589 343452 515178 686904 772767 830009 1030356 1545534 1660018 2060712 2318301 2490027 3091068 3320036 4636602 4980054 6182136 6640072 7470081 9273204 9960108 14940162 18546408 19920216 22410243 29880324 44820486 59760648 67230729 89640972 134461458 179281944 268922916 537845832