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55730688 = 293132791
BaseRepresentation
bin1101010010011…
…0001000000000
310212212102010120
43110212020000
5103231340223
65310300240
71244463066
oct324461000
9125772116
1055730688
1129505322
12167b7680
13b713950
14758a036
154d5cbe3
hex3526200

55730688 has 80 divisors (see below), whose sum is σ = 159948096. Its totient is φ = 17141760.

The previous prime is 55730687. The next prime is 55730711. The reversal of 55730688 is 88603755.

It is not an unprimeable number, because it can be changed into a prime (55730683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18573 + ... + 21363.

Almost surely, 255730688 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 55730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79974048).

55730688 is an abundant number, since it is smaller than the sum of its proper divisors (104217408).

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

55730688 is a wasteful number, since it uses less digits than its factorization.

55730688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 55730688 is about 7465.2989223473. The cubic root of 55730688 is about 381.9719468082.

The spelling of 55730688 in words is "fifty-five million, seven hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 2791 3328 4992 5582 6656 8373 9984 11164 16746 19968 22328 33492 36283 44656 66984 72566 89312 108849 133968 145132 178624 217698 267936 290264 357248 435396 535872 580528 714496 870792 1071744 1161056 1428992 1741584 2143488 2322112 3483168 4286976 4644224 6966336 9288448 13932672 18576896 27865344 55730688