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56297328 = 24359103193
BaseRepresentation
bin1101011011000…
…0011101110000
310220221012102020
43112300131300
5103403003303
65330351440
71252343103
oct326603560
9126835366
1056297328
112986201a
1216a2b580
13b881839
14769673a
154e20a53
hex35b0770

56297328 has 80 divisors (see below), whose sum is σ = 150109440. Its totient is φ = 18173952.

The previous prime is 56297321. The next prime is 56297347. The reversal of 56297328 is 82379265.

56297328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (181440) is a multiple of the sum of its prime divisors (360).

It is a self number, because there is not a number n which added to its sum of digits gives 56297328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56297321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291600 + ... + 291792.

It is an arithmetic number, because the mean of its divisors is an integer number (1876368).

Almost surely, 256297328 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 56297328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054720).

56297328 is an abundant number, since it is smaller than the sum of its proper divisors (93812112).

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

56297328 is a wasteful number, since it uses less digits than its factorization.

56297328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 56297328 is about 7503.1545365933. The cubic root of 56297328 is about 383.2621464954.

The spelling of 56297328 in words is "fifty-six million, two hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 103 118 177 193 206 236 309 354 386 412 472 579 618 708 772 824 944 1158 1236 1416 1544 1648 2316 2472 2832 3088 4632 4944 6077 9264 11387 12154 18231 19879 22774 24308 34161 36462 39758 45548 48616 59637 68322 72924 79516 91096 97232 119274 136644 145848 159032 182192 238548 273288 291696 318064 477096 546576 954192 1172861 2345722 3518583 4691444 7037166 9382888 14074332 18765776 28148664 56297328