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52396032 = 21531341
BaseRepresentation
bin1100011111100…
…0000000000000
310122120222211210
43013320000000
5101403133112
65111010120
71204234053
oct307700000
9118528753
1052396032
1127637a07
1215669940
13ab16b90
146d5ca9a
1548eeb3c
hex31f8000

52396032 has 128 divisors (see below), whose sum is σ = 154138320. Its totient is φ = 15728640.

The previous prime is 52396013. The next prime is 52396037. The reversal of 52396032 is 23069325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52396037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277932 + ... + 1277972.

Almost surely, 252396032 is an apocalyptic number.

52396032 is a gapful number since it is divisible by the number (52) 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 52396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77069160).

52396032 is an abundant number, since it is smaller than the sum of its proper divisors (101742288).

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

52396032 is an equidigital number, since it uses as much as digits as its factorization.

52396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 52396032 is about 7238.5103439865. The cubic root of 52396032 is about 374.1962804347.

The spelling of 52396032 in words is "fifty-two million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 512 533 624 656 768 832 984 1024 1066 1248 1312 1536 1599 1664 1968 2048 2132 2496 2624 3072 3198 3328 3936 4096 4264 4992 5248 6144 6396 6656 7872 8192 8528 9984 10496 12288 12792 13312 15744 16384 17056 19968 20992 24576 25584 26624 31488 32768 34112 39936 41984 49152 51168 53248 62976 68224 79872 83968 98304 102336 106496 125952 136448 159744 167936 204672 212992 251904 272896 319488 335872 409344 425984 503808 545792 638976 671744 818688 1007616 1091584 1277952 1343488 1637376 2015232 2183168 3274752 4030464 4366336 6549504 8732672 13099008 17465344 26198016 52396032