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56630784 = 293723229
BaseRepresentation
bin1101100000000…
…1111000000000
310221120010211110
43120001320000
5103444141114
65341443320
71255232220
oct330017000
9127503743
1056630784
1129a6a601
1216b70540
13b96a552
147742080
154e89759
hex3601e00

56630784 has 160 divisors (see below), whose sum is σ = 180702720. Its totient is φ = 15409152.

The previous prime is 56630759. The next prime is 56630797. The reversal of 56630784 is 48703665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247182 + ... + 247410.

It is an arithmetic number, because the mean of its divisors is an integer number (1129392).

Almost surely, 256630784 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 56630784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90351360).

56630784 is an abundant number, since it is smaller than the sum of its proper divisors (124071936).

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

56630784 is a wasteful number, since it uses less digits than its factorization.

56630784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56630784 is about 7525.3427828904. The cubic root of 56630784 is about 384.0173603263.

The spelling of 56630784 in words is "fifty-six million, six hundred thirty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 229 256 276 322 336 368 384 448 458 483 512 552 644 672 687 736 768 896 916 966 1104 1288 1344 1374 1472 1536 1603 1792 1832 1932 2208 2576 2688 2748 2944 3206 3584 3664 3864 4416 4809 5152 5267 5376 5496 5888 6412 7328 7728 8832 9618 10304 10534 10752 10992 11776 12824 14656 15456 15801 17664 19236 20608 21068 21984 25648 29312 30912 31602 35328 36869 38472 41216 42136 43968 51296 58624 61824 63204 73738 76944 82432 84272 87936 102592 110607 117248 123648 126408 147476 153888 168544 175872 205184 221214 247296 252816 294952 307776 337088 351744 410368 442428 505632 589904 615552 674176 820736 884856 1011264 1179808 1231104 1348352 1769712 2022528 2359616 2462208 2696704 3539424 4045056 4719232 7078848 8090112 9438464 14157696 18876928 28315392 56630784