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56942496 = 25321367227
BaseRepresentation
bin1101100100110…
…1111110100000
310222010222102100
43121031332200
5104034124441
65352250400
71261001052
oct331157640
9128128370
1056942496
112a162816
12170a0a00
13ba493b0
1477c38d2
154eebcb6
hex364dfa0

56942496 has 144 divisors (see below), whose sum is σ = 177768864. Its totient is φ = 17183232.

The previous prime is 56942477. The next prime is 56942533. The reversal of 56942496 is 69424965.

56942496 is a `hidden beast` number, since 569 + 42 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250735 + ... + 250961.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 256942496 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 56942496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884432).

56942496 is an abundant number, since it is smaller than the sum of its proper divisors (120826368).

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

56942496 is a wasteful number, since it uses less digits than its factorization.

56942496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56942496 is about 7546.0251788607. The cubic root of 56942496 is about 384.7206519165.

The spelling of 56942496 in words is "fifty-six million, nine hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 67 72 78 96 104 117 134 144 156 201 208 227 234 268 288 312 402 416 454 468 536 603 624 681 804 871 908 936 1072 1206 1248 1362 1608 1742 1816 1872 2043 2144 2412 2613 2724 2951 3216 3484 3632 3744 4086 4824 5226 5448 5902 6432 6968 7264 7839 8172 8853 9648 10452 10896 11804 13936 15209 15678 16344 17706 19296 20904 21792 23608 26559 27872 30418 31356 32688 35412 41808 45627 47216 53118 60836 62712 65376 70824 83616 91254 94432 106236 121672 125424 136881 141648 182508 197717 212472 243344 250848 273762 283296 365016 395434 424944 486688 547524 593151 730032 790868 849888 1095048 1186302 1460064 1581736 1779453 2190096 2372604 3163472 3558906 4380192 4745208 6326944 7117812 9490416 14235624 18980832 28471248 56942496