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52123904 = 287172959
BaseRepresentation
bin1100011011010…
…1100100000000
310122002011112222
43012311210000
5101320431104
65101110212
71202021510
oct306654400
9118064488
1052123904
1127471508
1215558368
13aa50061
146ccb840
1548991be
hex31b5900

52123904 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 19955712.

The previous prime is 52123901. The next prime is 52123913. The reversal of 52123904 is 40932125.

It is not an unprimeable number, because it can be changed into a prime (52123901) 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, 883427 + ... + 883485.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 252123904 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 52123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

52123904 is an abundant number, since it is smaller than the sum of its proper divisors (80327296).

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

52123904 is a wasteful number, since it uses less digits than its factorization.

52123904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 52123904 is about 7219.6886359455. The cubic root of 52123904 is about 373.5473376212.

The spelling of 52123904 in words is "fifty-two million, one hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 59 64 68 112 116 118 119 128 136 203 224 232 236 238 256 272 406 413 448 464 472 476 493 544 812 826 896 928 944 952 986 1003 1088 1624 1652 1711 1792 1856 1888 1904 1972 2006 2176 3248 3304 3422 3451 3712 3776 3808 3944 4012 4352 6496 6608 6844 6902 7021 7424 7552 7616 7888 8024 11977 12992 13216 13688 13804 14042 15104 15232 15776 16048 23954 25984 26432 27376 27608 28084 29087 30464 31552 32096 47908 51968 52864 54752 55216 56168 58174 63104 64192 95816 105728 109504 110432 112336 116348 126208 128384 191632 203609 219008 220864 224672 232696 256768 383264 407218 438016 441728 449344 465392 766528 814436 883456 898688 930784 1533056 1628872 1797376 1861568 3066112 3257744 3723136 6515488 7446272 13030976 26061952 52123904