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56694144 = 2731341277
BaseRepresentation
bin1101100001000…
…1010110000000
310221200100202010
43120101112000
5104003203034
65343052520
71255615023
oct330212600
9127610663
1056694144
112a003171
1216ba1140
13b990340
14775b1ba
154e9d3e9
hex3611580

56694144 has 128 divisors (see below), whose sum is σ = 166733280. Its totient is φ = 16957440.

The previous prime is 56694137. The next prime is 56694151. The reversal of 56694144 is 44149665.

It is an interprime number because it is at equal distance from previous prime (56694137) and next prime (56694151).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 204534 + ... + 204810.

Almost surely, 256694144 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 56694144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83366640).

56694144 is an abundant number, since it is smaller than the sum of its proper divisors (110039136).

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

56694144 is a wasteful number, since it uses less digits than its factorization.

56694144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 56694144 is about 7529.5513810585. The cubic root of 56694144 is about 384.1605231651.

The spelling of 56694144 in words is "fifty-six million, six hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 277 312 328 384 416 492 533 554 624 656 831 832 984 1066 1108 1248 1312 1599 1662 1664 1968 2132 2216 2496 2624 3198 3324 3601 3936 4264 4432 4992 5248 6396 6648 7202 7872 8528 8864 10803 11357 12792 13296 14404 15744 17056 17728 21606 22714 25584 26592 28808 34071 34112 35456 43212 45428 51168 53184 57616 68142 68224 86424 90856 102336 106368 115232 136284 147641 172848 181712 204672 230464 272568 295282 345696 363424 442923 460928 545136 590564 691392 726848 885846 1090272 1181128 1382784 1453696 1771692 2180544 2362256 3543384 4361088 4724512 7086768 9449024 14173536 18898048 28347072 56694144