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52113432 = 23371771257
BaseRepresentation
bin1100011011001…
…1000000011000
310122001122012010
43012303000120
5101320112212
65100545520
71201646130
oct306630030
9118048163
1052113432
1127464658
12155522a0
13aa48367
146cc7ac0
15489603c
hex31b3018

52113432 has 128 divisors (see below), whose sum is σ = 160496640. Its totient is φ = 13762560.

The previous prime is 52113421. The next prime is 52113437. The reversal of 52113432 is 23431125.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 52113399 and 52113408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52113437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202648 + ... + 202904.

It is an arithmetic number, because the mean of its divisors is an integer number (1253880).

Almost surely, 252113432 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 52113432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80248320).

52113432 is an abundant number, since it is smaller than the sum of its proper divisors (108383208).

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

52113432 is a wasteful number, since it uses less digits than its factorization.

52113432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 52113432 is about 7218.9633604833. The cubic root of 52113432 is about 373.5223199907.

Adding to 52113432 its reverse (23431125), we get a palindrome (75544557).

The spelling of 52113432 in words is "fifty-two million, one hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 71 84 102 119 136 142 168 204 213 238 257 284 357 408 426 476 497 514 568 714 771 852 952 994 1028 1207 1428 1491 1542 1704 1799 1988 2056 2414 2856 2982 3084 3598 3621 3976 4369 4828 5397 5964 6168 7196 7242 8449 8738 9656 10794 11928 13107 14392 14484 16898 17476 18247 21588 25347 26214 28968 30583 33796 34952 36494 43176 50694 52428 54741 61166 67592 72988 91749 101388 104856 109482 122332 127729 145976 183498 202776 218964 244664 255458 310199 366996 383187 437928 510916 620398 733992 766374 930597 1021832 1240796 1532748 1861194 2171393 2481592 3065496 3722388 4342786 6514179 7444776 8685572 13028358 17371144 26056716 52113432