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52545792 = 2831319277
BaseRepresentation
bin1100100001110…
…0100100000000
310122212121021110
43020130210000
5101422431132
65114123320
71205426505
oct310344400
9118777243
1052545792
112772a482
1215720540
13ab6a0b0
146d9b4ac
15492e1cc
hex321c900

52545792 has 144 divisors (see below), whose sum is σ = 159104960. Its totient is φ = 15261696.

The previous prime is 52545781. The next prime is 52545797. The reversal of 52545792 is 29754525.

It is a super-2 number, since 2×525457922 = 5522120513814528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 52545792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52545797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189558 + ... + 189834.

Almost surely, 252545792 is an apocalyptic number.

52545792 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 52545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552480).

52545792 is an abundant number, since it is smaller than the sum of its proper divisors (106559168).

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

52545792 is a wasteful number, since it uses less digits than its factorization.

52545792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 52545792 is about 7248.8476325551. The cubic root of 52545792 is about 374.5524545317.

The spelling of 52545792 in words is "fifty-two million, five hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 277 304 312 384 416 456 494 554 608 624 741 768 831 832 912 988 1108 1216 1248 1482 1662 1664 1824 1976 2216 2432 2496 2964 3324 3328 3601 3648 3952 4432 4864 4992 5263 5928 6648 7202 7296 7904 8864 9984 10526 10803 11856 13296 14404 14592 15789 15808 17728 21052 21606 23712 26592 28808 31578 31616 35456 42104 43212 47424 53184 57616 63156 63232 68419 70912 84208 86424 94848 106368 115232 126312 136838 168416 172848 189696 205257 212736 230464 252624 273676 336832 345696 410514 460928 505248 547352 673664 691392 821028 921856 1010496 1094704 1347328 1382784 1642056 2020992 2189408 2765568 3284112 4041984 4378816 6568224 8757632 13136448 17515264 26272896 52545792