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52976768 = 271323179
BaseRepresentation
bin1100101000010…
…1110010000000
310200200111110112
43022011302000
5102030224033
65131250452
71212203135
oct312056200
9120614415
1052976768
11279a4259
12158a9a28
13ac8b300
14707058c
1549b6c48
hex3285c80

52976768 has 96 divisors (see below), whose sum is σ = 119462400. Its totient is φ = 23362560.

The previous prime is 52976761. The next prime is 52976771. The reversal of 52976768 is 86767925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52976761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670553 + ... + 670631.

It is an arithmetic number, because the mean of its divisors is an integer number (1244400).

Almost surely, 252976768 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 52976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59731200).

52976768 is an abundant number, since it is smaller than the sum of its proper divisors (66485632).

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

52976768 is a wasteful number, since it uses less digits than its factorization.

52976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 52976768 is about 7278.5141340798. The cubic root of 52976768 is about 375.5736831048.

The spelling of 52976768 in words is "fifty-two million, nine hundred seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 79 104 124 128 158 169 208 248 316 338 403 416 496 632 676 806 832 992 1027 1264 1352 1612 1664 1984 2054 2449 2528 2704 3224 3968 4108 4898 5056 5239 5408 6448 8216 9796 10112 10478 10816 12896 13351 16432 19592 20956 21632 25792 26702 31837 32864 39184 41912 51584 53404 63674 65728 78368 83824 106808 127348 131456 156736 167648 213616 254696 313472 335296 413881 427232 509392 670592 827762 854464 1018784 1655524 1708928 2037568 3311048 4075136 6622096 13244192 26488384 52976768