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56093688 = 23337231613
BaseRepresentation
bin1101010111111…
…0101111111000
310220112212002000
43111332233320
5103324444223
65322141000
71250534310
oct325765770
9126485060
1056093688
1129733022
1216951760
13b80cc41
147642440
154dd0543
hex357ebf8

56093688 has 128 divisors (see below), whose sum is σ = 185932800. Its totient is φ = 15320448.

The previous prime is 56093647. The next prime is 56093707. The reversal of 56093688 is 88639065.

56093688 is a `hidden beast` number, since 5 + 609 + 36 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33970 + ... + 35582.

It is an arithmetic number, because the mean of its divisors is an integer number (1452600).

Almost surely, 256093688 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 56093688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92966400).

56093688 is an abundant number, since it is smaller than the sum of its proper divisors (129839112).

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

56093688 is a wasteful number, since it uses less digits than its factorization.

56093688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 56093688 is about 7489.5719503854. The cubic root of 56093688 is about 382.7994732749.

The spelling of 56093688 in words is "fifty-six million, ninety-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1613 1656 1932 2484 2898 3226 3864 4347 4839 4968 5796 6452 8694 9678 11291 11592 12904 14517 17388 19356 22582 29034 33873 34776 37099 38712 43551 45164 58068 67746 74198 87102 90328 101619 111297 116136 135492 148396 174204 203238 222594 259693 270984 296792 304857 333891 348408 406476 445188 519386 609714 667782 779079 812952 890376 1001673 1038772 1219428 1335564 1558158 2003346 2077544 2337237 2438856 2671128 3116316 4006692 4674474 6232632 7011711 8013384 9348948 14023422 18697896 28046844 56093688