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56303456 = 251117972
BaseRepresentation
bin1101011011000…
…1111101100000
310220221111211012
43112301331200
5103403202311
65330440052
71252400006
oct326617540
9126844735
1056303456
1129866690
1216a33028
13b884571
147698a76
154e2278b
hex35b1f60

56303456 has 72 divisors (see below), whose sum is σ = 129371256. Its totient is φ = 23838720.

The previous prime is 56303453. The next prime is 56303459. The reversal of 56303456 is 65430365.

It is an interprime number because it is at equal distance from previous prime (56303453) and next prime (56303459).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56303453) 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, 580400 + ... + 580496.

It is an arithmetic number, because the mean of its divisors is an integer number (1796823).

Almost surely, 256303456 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 56303456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64685628).

56303456 is an abundant number, since it is smaller than the sum of its proper divisors (73067800).

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

56303456 is a wasteful number, since it uses less digits than its factorization.

56303456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 56303456 is about 7503.5628870557. The cubic root of 56303456 is about 383.2760521005.

The spelling of 56303456 in words is "fifty-six million, three hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 97 136 176 187 194 272 352 374 388 544 748 776 1067 1496 1552 1649 2134 2992 3104 3298 4268 5984 6596 8536 9409 13192 17072 18139 18818 26384 34144 36278 37636 52768 72556 75272 103499 145112 150544 159953 206998 290224 301088 319906 413996 580448 639812 827992 1279624 1655984 1759483 2559248 3311968 3518966 5118496 7037932 14075864 28151728 56303456