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53432964 = 2232132931127
BaseRepresentation
bin1100101111010…
…1001010000100
310201112200020200
43023311022010
5102134323324
65145130500
71216113144
oct313651204
9121480220
1053432964
1128185a82
1215a89a30
13b0bab50
14714c924
154a56ec9
hex32f5284

53432964 has 144 divisors (see below), whose sum is σ = 156549120. Its totient is φ = 15240960.

The previous prime is 53432941. The next prime is 53432983. The reversal of 53432964 is 46923435.

53432964 is a `hidden beast` number, since 534 + 32 + 96 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420669 + ... + 420795.

Almost surely, 253432964 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 53432964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).

53432964 is an abundant number, since it is smaller than the sum of its proper divisors (103116156).

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

53432964 is a wasteful number, since it uses less digits than its factorization.

53432964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 205 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53432964 is about 7309.7854961688. The cubic root of 53432964 is about 376.6486558682.

The spelling of 53432964 in words is "fifty-three million, four hundred thirty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 31 36 39 52 58 62 78 87 93 116 117 124 127 156 174 186 234 254 261 279 348 372 377 381 403 468 508 522 558 754 762 806 899 1044 1116 1131 1143 1209 1508 1524 1612 1651 1798 2262 2286 2418 2697 3302 3393 3596 3627 3683 3937 4524 4572 4836 4953 5394 6604 6786 7254 7366 7874 8091 9906 10788 11049 11687 11811 13572 14508 14732 14859 15748 16182 19812 22098 23374 23622 29718 32364 33147 35061 35433 44196 46748 47244 47879 51181 59436 66294 70122 70866 95758 102362 105183 114173 132588 140244 141732 143637 153543 191516 204724 210366 228346 287274 307086 342519 420732 430911 456692 460629 574548 614172 685038 861822 921258 1027557 1370076 1484249 1723644 1842516 2055114 2968498 4110228 4452747 5936996 8905494 13358241 17810988 26716482 53432964