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5237932032 = 2153217761
BaseRepresentation
bin1001110000011010…
…01000000000000000
3111112001002111221200
410320031020000000
541211402311112
62223431021200
7243541454604
oct47015100000
914461074850
105237932032
112248748953
12102220a800
13656237388
14379919504
15209ca4cdc
hex138348000

5237932032 has 96 divisors (see below), whose sum is σ = 15132424710. Its totient is φ = 1745879040.

The previous prime is 5237932001. The next prime is 5237932043. The reversal of 5237932032 is 2302397325.

5237932032 is a `hidden beast` number, since 523 + 79 + 32 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4724637696 + 513294336 = 68736^2 + 22656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286032 + ... + 303792.

Almost surely, 25237932032 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 5237932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566212355).

5237932032 is an abundant number, since it is smaller than the sum of its proper divisors (9894492678).

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

5237932032 is an equidigital number, since it uses as much as digits as its factorization.

5237932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17797 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 5237932032 is about 72373.5589286585. The cubic root of 5237932032 is about 1736.6805998631.

It can be divided in two parts, 523793 and 2032, that added together give a triangular number (525825 = T1025).

The spelling of 5237932032 in words is "five billion, two hundred thirty-seven million, nine hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 17761 18432 24576 32768 35522 36864 49152 53283 71044 73728 98304 106566 142088 147456 159849 213132 284176 294912 319698 426264 568352 639396 852528 1136704 1278792 1705056 2273408 2557584 3410112 4546816 5115168 6820224 9093632 10230336 13640448 18187264 20460672 27280896 36374528 40921344 54561792 72749056 81842688 109123584 145498112 163685376 218247168 290996224 327370752 436494336 581992448 654741504 872988672 1309483008 1745977344 2618966016 5237932032