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56884608 = 273211672
BaseRepresentation
bin1101100011111…
…1110110000000
310222001001000100
43120333312000
5104030301413
65351122400
71260340224
oct330776600
9128031010
1056884608
112a123280
1217073400
13ba28c41
1477aa784
154ed9a73
hex363fd80

56884608 has 144 divisors (see below), whose sum is σ = 181277460. Its totient is φ = 16980480.

The previous prime is 56884591. The next prime is 56884609. The reversal of 56884608 is 80648865.

56884608 is a `hidden beast` number, since 568 + 84 + 6 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56884609) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 848991 + ... + 849057.

Almost surely, 256884608 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 56884608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90638730).

56884608 is an abundant number, since it is smaller than the sum of its proper divisors (124392852).

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

56884608 is a wasteful number, since it uses less digits than its factorization.

56884608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 56884608 is about 7542.1885417961. The cubic root of 56884608 is about 384.5902381262.

It can be divided in two parts, 5688 and 4608, that added together give a triangular number (10296 = T143).

The spelling of 56884608 in words is "fifty-six million, eight hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 67 72 88 96 99 128 132 134 144 176 192 198 201 264 268 288 352 384 396 402 528 536 576 603 704 737 792 804 1056 1072 1152 1206 1408 1474 1584 1608 2112 2144 2211 2412 2948 3168 3216 4224 4288 4422 4489 4824 5896 6336 6432 6633 8576 8844 8978 9648 11792 12672 12864 13266 13467 17688 17956 19296 23584 25728 26532 26934 35376 35912 38592 40401 47168 49379 53064 53868 70752 71824 77184 80802 94336 98758 106128 107736 141504 143648 148137 161604 197516 212256 215472 283008 287296 296274 323208 395032 424512 430944 444411 574592 592548 646416 790064 849024 861888 888822 1185096 1292832 1580128 1723776 1777644 2370192 2585664 3160256 3555288 4740384 5171328 6320512 7110576 9480768 14221152 18961536 28442304 56884608