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56208816 = 24366179
BaseRepresentation
bin1101011001101…
…0110110110000
310220202201000000
43112122312300
5103342140231
65324430000
71251524046
oct326326660
9126681000
1056208816
1129801574
12169a8300
13b850471
147672396
154e046e6
hex359adb0

56208816 has 140 divisors (see below), whose sum is σ = 168059680. Its totient is φ = 18195840.

The previous prime is 56208787. The next prime is 56208829. The reversal of 56208816 is 61880265.

It is a happy number.

56208816 is a `hidden beast` number, since 562 + 0 + 88 + 16 = 666.

It is a super-2 number, since 2×562088162 = 6318861992243712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 711465 + ... + 711543.

Almost surely, 256208816 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 56208816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029840).

56208816 is an abundant number, since it is smaller than the sum of its proper divisors (111850864).

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

56208816 is an equidigital number, since it uses as much as digits as its factorization.

56208816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 56208816 is about 7497.2538972613. The cubic root of 56208816 is about 383.0611831803.

The spelling of 56208816 in words is "fifty-six million, two hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 79 81 108 122 144 158 162 183 216 237 243 244 316 324 366 432 474 486 488 549 632 648 711 729 732 948 972 976 1098 1264 1296 1422 1458 1464 1647 1896 1944 2133 2196 2844 2916 2928 3294 3792 3888 4266 4392 4819 4941 5688 5832 6399 6588 8532 8784 9638 9882 11376 11664 12798 13176 14457 14823 17064 19197 19276 19764 25596 26352 28914 29646 34128 38394 38552 39528 43371 44469 51192 57591 57828 59292 76788 77104 79056 86742 88938 102384 115182 115656 118584 130113 153576 173484 177876 230364 231312 237168 260226 307152 346968 355752 390339 460728 520452 693936 711504 780678 921456 1040904 1171017 1561356 2081808 2342034 3122712 3513051 4684068 6245424 7026102 9368136 14052204 18736272 28104408 56208816