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52331776 = 287192953
BaseRepresentation
bin1100011110100…
…0010100000000
310122110201200221
43013220110000
5101344104101
65105352424
71203545530
oct307502400
9118421627
1052331776
11275a3702
1215638714
13aac3863
146d434c0
1548daaa1
hex31e8500

52331776 has 144 divisors (see below), whose sum is σ = 132451200. Its totient is φ = 20127744.

The previous prime is 52331771. The next prime is 52331809. The reversal of 52331776 is 67713325.

It is a super-2 number, since 2×523317762 = 5477229558628352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52331771) 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, 987366 + ... + 987418.

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

Almost surely, 252331776 is an apocalyptic number.

52331776 is a gapful number since it is divisible by the number (56) 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 52331776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66225600).

52331776 is an abundant number, since it is smaller than the sum of its proper divisors (80119424).

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

52331776 is a wasteful number, since it uses less digits than its factorization.

52331776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 52331776 is about 7234.0705000712. The cubic root of 52331776 is about 374.0432523590.

The spelling of 52331776 in words is "fifty-two million, three hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 53 56 58 64 76 106 112 116 128 133 152 203 212 224 232 256 266 304 371 406 424 448 464 532 551 608 742 812 848 896 928 1007 1064 1102 1216 1484 1537 1624 1696 1792 1856 2014 2128 2204 2432 2968 3074 3248 3392 3712 3857 4028 4256 4408 4864 5936 6148 6496 6784 7049 7424 7714 8056 8512 8816 10759 11872 12296 12992 13568 14098 15428 16112 17024 17632 21518 23744 24592 25984 28196 29203 30856 32224 34048 35264 43036 47488 49184 51968 56392 58406 61712 64448 70528 86072 94976 98368 112784 116812 123424 128896 141056 172144 196736 204421 225568 233624 246848 257792 344288 393472 408842 451136 467248 493696 688576 817684 902272 934496 987392 1377152 1635368 1804544 1868992 2754304 3270736 3737984 6541472 7475968 13082944 26165888 52331776