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53091584 = 287134353
BaseRepresentation
bin1100101010000…
…1110100000000
310200220022221222
43022201310000
5102042412314
65133534212
71213161650
oct312416400
9120808858
1053091584
1127a72547
1215944368
13accb650
1470a0360
1549dac8e
hex32a1d00

53091584 has 144 divisors (see below), whose sum is σ = 135983232. Its totient is φ = 20127744.

The previous prime is 53091583. The next prime is 53091587. The reversal of 53091584 is 48519035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53091583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001702 + ... + 1001754.

It is an arithmetic number, because the mean of its divisors is an integer number (944328).

Almost surely, 253091584 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 53091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67991616).

53091584 is an abundant number, since it is smaller than the sum of its proper divisors (82891648).

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

53091584 is a wasteful number, since it uses less digits than its factorization.

53091584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 53091584 is about 7286.3971892836. The cubic root of 53091584 is about 375.8448129765.

The spelling of 53091584 in words is "fifty-three million, ninety-one thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 53 56 64 86 91 104 106 112 128 172 182 208 212 224 256 301 344 364 371 416 424 448 559 602 688 689 728 742 832 848 896 1118 1204 1376 1378 1456 1484 1664 1696 1792 2236 2279 2408 2752 2756 2912 2968 3328 3392 3913 4472 4558 4816 4823 5504 5512 5824 5936 6784 7826 8944 9116 9632 9646 11008 11024 11648 11872 13568 15652 15953 17888 18232 19264 19292 22048 23296 23744 29627 31304 31906 35776 36464 38528 38584 44096 47488 59254 62608 63812 71552 72928 77056 77168 88192 94976 118508 125216 127624 143104 145856 154336 176384 207389 237016 250432 255248 291712 308672 414778 474032 500864 510496 583424 617344 829556 948064 1001728 1020992 1234688 1659112 1896128 2041984 3318224 3792256 4083968 6636448 7584512 13272896 26545792 53091584