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56494320 = 2435298117
BaseRepresentation
bin1101011110000…
…0100011110000
310221022012122020
43113200203300
5103430304240
65334511440
71254123321
oct327404360
9127265566
1056494320
1129987023
1216b05580
13b9203bc
147708448
154e5e0d0
hex35e08f0

56494320 has 80 divisors (see below), whose sum is σ = 181193760. Its totient is φ = 14543872.

The previous prime is 56494289. The next prime is 56494331. The reversal of 56494320 is 2349465.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2902 + ... + 11018.

It is an arithmetic number, because the mean of its divisors is an integer number (2264922).

Almost surely, 256494320 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 56494320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90596880).

56494320 is an abundant number, since it is smaller than the sum of its proper divisors (124699440).

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

56494320 is a wasteful number, since it uses less digits than its factorization.

56494320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8162 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 56494320 is about 7516.2703517103. The cubic root of 56494320 is about 383.7086548771.

The spelling of 56494320 in words is "fifty-six million, four hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 8117 16234 24351 32468 40585 48702 64936 81170 97404 121755 129872 162340 194808 235393 243510 324680 389616 470786 487020 649360 706179 941572 974040 1176965 1412358 1883144 1948080 2353930 2824716 3530895 3766288 4707860 5649432 7061790 9415720 11298864 14123580 18831440 28247160 56494320