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272053656 = 23327618849
BaseRepresentation
bin10000001101110…
…011010110011000
3200221220202110100
4100031303112120
51024121204111
642555015400
76512263230
oct2015632630
9627822410
10272053656
1112a626a36
127713a560
13444947c4
14281bacc0
1518d3d756
hex10373598

272053656 has 96 divisors (see below), whose sum is σ = 855972000. Its totient is φ = 76446720.

The previous prime is 272053633. The next prime is 272053667. The reversal of 272053656 is 656350272.

It is a happy number.

272053656 is a `hidden beast` number, since 2 + 72 + 0 + 536 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 272053656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26320 + ... + 35168.

It is an arithmetic number, because the mean of its divisors is an integer number (8916375).

Almost surely, 2272053656 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 272053656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427986000).

272053656 is an abundant number, since it is smaller than the sum of its proper divisors (583918344).

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

272053656 is a wasteful number, since it uses less digits than its factorization.

272053656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8929 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 272053656 is about 16494.0491086937. The cubic root of 272053656 is about 647.9649615257.

The spelling of 272053656 in words is "two hundred seventy-two million, fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 4392 5124 7686 8849 10248 15372 17698 26547 30744 35396 53094 61943 70792 79641 106188 123886 159282 185829 212376 247772 318564 371658 495544 539789 557487 637128 743316 1079578 1114974 1486632 1619367 2159156 2229948 3238734 3778523 4318312 4459896 4858101 6477468 7557046 9716202 11335569 12954936 15114092 19432404 22671138 30228184 34006707 38864808 45342276 68013414 90684552 136026828 272053656