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56726320 = 2457229499
BaseRepresentation
bin1101100001100…
…1001100110000
310221201222212211
43120121030300
5104010220240
65343501504
71256110600
oct330311460
9127658784
1056726320
112a025362
1216bb7894
13b9a1b91
147768c00
154ea7bea
hex3619330

56726320 has 120 divisors (see below), whose sum is σ = 159030000. Its totient is φ = 18740736.

The previous prime is 56726281. The next prime is 56726333. The reversal of 56726320 is 2362765.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113431 + ... + 113929.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 256726320 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 56726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79515000).

56726320 is an abundant number, since it is smaller than the sum of its proper divisors (102303680).

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

56726320 is a wasteful number, since it uses less digits than its factorization.

56726320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 56726320 is about 7531.6877258686. The cubic root of 56726320 is about 384.2331844693.

The spelling of 56726320 in words is "fifty-six million, seven hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 392 406 464 490 499 560 580 784 812 980 998 1015 1160 1421 1624 1960 1996 2030 2320 2495 2842 3248 3493 3920 3992 4060 4990 5684 6986 7105 7984 8120 9980 11368 13972 14210 14471 16240 17465 19960 22736 24451 27944 28420 28942 34930 39920 48902 55888 56840 57884 69860 72355 97804 101297 113680 115768 122255 139720 144710 195608 202594 231536 244510 279440 289420 391216 405188 489020 506485 578840 709079 810376 978040 1012970 1157680 1418158 1620752 1956080 2025940 2836316 3545395 4051880 5672632 7090790 8103760 11345264 14181580 28363160 56726320