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56279040 = 21435229
BaseRepresentation
bin1101011010110…
…0000000000000
310220220021022220
43112230000000
5103401412130
65330131040
71252235556
oct326540000
9126807286
1056279040
112984a304
1216a20a80
13b87640c
14768dbd6
154e1a410
hex35ac000

56279040 has 120 divisors (see below), whose sum is σ = 180873840. Its totient is φ = 14942208.

The previous prime is 56279033. The next prime is 56279051. The reversal of 56279040 is 4097265.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 56278992 and 56279010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245646 + ... + 245874.

It is an arithmetic number, because the mean of its divisors is an integer number (1507282).

Almost surely, 256279040 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 56279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90436920).

56279040 is an abundant number, since it is smaller than the sum of its proper divisors (124594800).

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

56279040 is an equidigital number, since it uses as much as digits as its factorization.

56279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56279040 is about 7501.9357501914. The cubic root of 56279040 is about 383.2206415224.

The spelling of 56279040 in words is "fifty-six million, two hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 256 320 384 458 480 512 640 687 768 916 960 1024 1145 1280 1374 1536 1832 1920 2048 2290 2560 2748 3072 3435 3664 3840 4096 4580 5120 5496 6144 6870 7328 7680 8192 9160 10240 10992 12288 13740 14656 15360 16384 18320 20480 21984 24576 27480 29312 30720 36640 40960 43968 49152 54960 58624 61440 73280 81920 87936 109920 117248 122880 146560 175872 219840 234496 245760 293120 351744 439680 468992 586240 703488 879360 937984 1172480 1406976 1758720 1875968 2344960 2813952 3517440 3751936 4689920 5627904 7034880 9379840 11255808 14069760 18759680 28139520 56279040