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53628608 = 2611174481
BaseRepresentation
bin1100110010010…
…0111011000000
310201220121121202
43030210323000
5102212103413
65153240332
71220556425
oct314447300
9121817552
1053628608
11282a9a70
1215b630a8
13b158c07
14719dd4c
154a94e58
hex3324ec0

53628608 has 56 divisors (see below), whose sum is σ = 122950224. Its totient is φ = 22937600.

The previous prime is 53628599. The next prime is 53628613. The reversal of 53628608 is 80682635.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9728 + ... + 14208.

Almost surely, 253628608 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 53628608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61475112).

53628608 is an abundant number, since it is smaller than the sum of its proper divisors (69321616).

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

53628608 is a wasteful number, since it uses less digits than its factorization.

53628608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 53628608 is about 7323.1556039729. The cubic root of 53628608 is about 377.1077937580.

The spelling of 53628608 in words is "fifty-three million, six hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 4481 5984 8962 11968 17924 35848 49291 71696 76177 98582 143392 152354 197164 286784 304708 394328 609416 788656 837947 1218832 1577312 1675894 2437664 3154624 3351788 4875328 6703576 13407152 26814304 53628608