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56298720 = 2535532213
BaseRepresentation
bin1101011011000…
…0110011100000
310220221021022210
43112300303200
5103403024340
65330402120
71252350132
oct326606340
9126837283
1056298720
1129863075
1216a30340
13b88236a
147697052
154e21180
hex35b0ce0

56298720 has 96 divisors (see below), whose sum is σ = 180768672. Its totient is φ = 14723072.

The previous prime is 56298707. The next prime is 56298727. The reversal of 56298720 is 2789265.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56298727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24334 + ... + 26546.

It is an arithmetic number, because the mean of its divisors is an integer number (1883007).

Almost surely, 256298720 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 56298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90384336).

56298720 is an abundant number, since it is smaller than the sum of its proper divisors (124469952).

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

56298720 is a wasteful number, since it uses less digits than its factorization.

56298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 56298720 is about 7503.2472970041. The cubic root of 56298720 is about 383.2653052985.

The spelling of 56298720 in words is "fifty-six million, two hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2213 2544 3180 4240 4426 5088 6360 6639 8480 8852 11065 12720 13278 17704 22130 25440 26556 33195 35408 44260 53112 66390 70816 88520 106224 117289 132780 177040 212448 234578 265560 351867 354080 469156 531120 586445 703734 938312 1062240 1172890 1407468 1759335 1876624 2345780 2814936 3518670 3753248 4691560 5629872 7037340 9383120 11259744 14074680 18766240 28149360 56298720