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537264960 = 2635678353
BaseRepresentation
bin100000000001100…
…000001101000000
31101102221212222020
4200001200031000
52100014434320
6125151241440
716212451101
oct4001401500
91342855866
10537264960
112562aa131
1212bb19280
1387401a7b
14514d63a8
1532279940
hex20060340

537264960 has 112 divisors (see below), whose sum is σ = 1731483456. Its totient is φ = 141115392.

The previous prime is 537264953. The next prime is 537264971. The reversal of 537264960 is 69462735.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60144 + ... + 68496.

Almost surely, 2537264960 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 537264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865741728).

537264960 is an abundant number, since it is smaller than the sum of its proper divisors (1194218496).

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

537264960 is a wasteful number, since it uses less digits than its factorization.

537264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8430 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 537264960 is about 23178.9766814672. The cubic root of 537264960 is about 812.9481349550.

The spelling of 537264960 in words is "five hundred thirty-seven million, two hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 8353 10720 12864 16080 16706 21440 25059 32160 33412 41765 50118 64320 66824 83530 100236 125295 133648 167060 200472 250590 267296 334120 400944 501180 534592 559651 668240 801888 1002360 1119302 1336480 1603776 1678953 2004720 2238604 2672960 2798255 3357906 4009440 4477208 5596510 6715812 8018880 8394765 8954416 11193020 13431624 16789530 17908832 22386040 26863248 33579060 35817664 44772080 53726496 67158120 89544160 107452992 134316240 179088320 268632480 537264960