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56902144 = 291383103
BaseRepresentation
bin1101100100010…
…0001000000000
310222001221001211
43121010020000
5104031332034
65351335504
71260442315
oct331041000
9128057054
1056902144
112a135472
1217081594
13ba33c10
1477b2d0c
154eded64
hex3644200

56902144 has 80 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 25694208.

The previous prime is 56902129. The next prime is 56902177. The reversal of 56902144 is 44120965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552397 + ... + 552499.

Almost surely, 256902144 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 56902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

56902144 is an abundant number, since it is smaller than the sum of its proper divisors (68214848).

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

56902144 is a wasteful number, since it uses less digits than its factorization.

56902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 56902144 is about 7543.3509795051. The cubic root of 56902144 is about 384.6297536868.

The spelling of 56902144 in words is "fifty-six million, nine hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 103 104 128 166 206 208 256 332 412 416 512 664 824 832 1079 1328 1339 1648 1664 2158 2656 2678 3296 3328 4316 5312 5356 6592 6656 8549 8632 10624 10712 13184 17098 17264 21248 21424 26368 34196 34528 42496 42848 52736 68392 69056 85696 111137 136784 138112 171392 222274 273568 276224 342784 444548 547136 552448 685568 889096 1094272 1778192 2188544 3556384 4377088 7112768 14225536 28451072 56902144