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57403296 = 253329279
BaseRepresentation
bin1101101011111…
…0011110100000
311000000101112000
43122332132200
5104143401141
65410204000
71264630356
oct332763640
9130011460
1057403296
112a447a45
1217283600
13bb7b062
1478a37d6
15508d5b6
hex36be7a0

57403296 has 144 divisors (see below), whose sum is σ = 175593600. Its totient is φ = 18240768.

The previous prime is 57403279. The next prime is 57403337. The reversal of 57403296 is 69230475.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57403296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726585 + ... + 726663.

It is an arithmetic number, because the mean of its divisors is an integer number (1219400).

Almost surely, 257403296 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 57403296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87796800).

57403296 is an abundant number, since it is smaller than the sum of its proper divisors (118190304).

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

57403296 is a wasteful number, since it uses less digits than its factorization.

57403296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57403296 is about 7576.4962878629. The cubic root of 57403296 is about 385.7556329573.

The spelling of 57403296 in words is "fifty-seven million, four hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 79 87 96 108 116 144 158 174 216 232 237 261 288 316 348 432 464 474 522 632 696 711 783 841 864 928 948 1044 1264 1392 1422 1566 1682 1896 2088 2133 2291 2523 2528 2784 2844 3132 3364 3792 4176 4266 4582 5046 5688 6264 6728 6873 7569 7584 8352 8532 9164 10092 11376 12528 13456 13746 15138 17064 18328 20184 20619 22707 22752 25056 26912 27492 30276 34128 36656 40368 41238 45414 54984 60552 61857 66439 68256 73312 80736 82476 90828 109968 121104 123714 132878 164952 181656 199317 219936 242208 247428 265756 329904 363312 398634 494856 531512 597951 659808 726624 797268 989712 1063024 1195902 1594536 1793853 1979424 2126048 2391804 3189072 3587706 4783608 6378144 7175412 9567216 14350824 19134432 28701648 57403296