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538805952 = 26331916411
BaseRepresentation
bin100000000111011…
…000011011000000
31101112212011211000
4200013120123000
52100413242302
6125244252000
716231526556
oct4007303300
91345764730
10538805952
11257161983
12130541000
13878212b9
14517b7bd6
153248131c
hex201d86c0

538805952 has 112 divisors (see below), whose sum is σ = 1667459200. Its totient is φ = 170138880.

The previous prime is 538805929. The next prime is 538805957. The reversal of 538805952 is 259508835.

538805952 is a `hidden beast` number, since 53 + 8 + 8 + 0 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 538805898 and 538805907.

It is not an unprimeable number, because it can be changed into a prime (538805957) 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, 24627 + ... + 41037.

Almost surely, 2538805952 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 538805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833729600).

538805952 is an abundant number, since it is smaller than the sum of its proper divisors (1128653248).

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

538805952 is a wasteful number, since it uses less digits than its factorization.

538805952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451 (or 16435 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 538805952 is about 23212.1940367558. The cubic root of 538805952 is about 813.7246300146.

The spelling of 538805952 in words is "five hundred thirty-eight million, eight hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16411 16416 32822 32832 49233 65644 98466 131288 147699 196932 262576 295398 311809 393864 443097 525152 590796 623618 787728 886194 935427 1050304 1181592 1247236 1575456 1772388 1870854 2363184 2494472 2806281 3150912 3544776 3741708 4726368 4988944 5612562 7089552 7483416 8418843 9452736 9977888 11225124 14179104 14966832 16837686 19955776 22450248 28358208 29933664 33675372 44900496 59867328 67350744 89800992 134701488 179601984 269402976 538805952