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52007904 = 25321329479
BaseRepresentation
bin1100011001100…
…1001111100000
310121212021102200
43012121033200
5101303223104
65054413200
71201026354
oct306311740
9117767380
1052007904
11273a2343
1215501200
13aa0c310
146c9b464
154874b39
hex31993e0

52007904 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 15418368.

The previous prime is 52007849. The next prime is 52007909. The reversal of 52007904 is 40970025.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52007909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108337 + ... + 108815.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 252007904 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 52007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

52007904 is an abundant number, since it is smaller than the sum of its proper divisors (113102496).

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

52007904 is a wasteful number, since it uses less digits than its factorization.

52007904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52007904 is about 7211.6505738978. The cubic root of 52007904 is about 373.2700261135.

Adding to 52007904 its reverse (40970025), we get a palindrome (92977929).

The spelling of 52007904 in words is "fifty-two million, seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 479 522 624 696 754 928 936 958 1044 1131 1248 1392 1437 1508 1872 1916 2088 2262 2784 2874 3016 3393 3744 3832 4176 4311 4524 5748 6032 6227 6786 7664 8352 8622 9048 11496 12064 12454 13572 13891 15328 17244 18096 18681 22992 24908 27144 27782 34488 36192 37362 41673 45984 49816 54288 55564 56043 68976 74724 83346 99632 108576 111128 112086 125019 137952 149448 166692 180583 199264 222256 224172 250038 298896 333384 361166 444512 448344 500076 541749 597792 666768 722332 896688 1000152 1083498 1333536 1444664 1625247 1793376 2000304 2166996 2889328 3250494 4000608 4333992 5778656 6500988 8667984 13001976 17335968 26003952 52007904