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538500352 = 2813435371
BaseRepresentation
bin100000000110001…
…101110100000000
31101112021122121111
4200012031310000
52100324002402
6125233533104
716226114605
oct4006156400
91345248544
10538500352
11256a73315
12130414194
1387745180
14517386ac
15324209d7
hex2018dd00

538500352 has 144 divisors (see below), whose sum is σ = 1223849088. Its totient is φ = 234823680.

The previous prime is 538500343. The next prime is 538500379. The reversal of 538500352 is 253005835.

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, 7584477 + ... + 7584547.

It is an arithmetic number, because the mean of its divisors is an integer number (8498952).

Almost surely, 2538500352 is an apocalyptic number.

538500352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611924544).

538500352 is an abundant number, since it is smaller than the sum of its proper divisors (685348736).

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

538500352 is a wasteful number, since it uses less digits than its factorization.

538500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 538500352 is about 23205.6103561186. The cubic root of 538500352 is about 813.5707581211.

The spelling of 538500352 in words is "five hundred thirty-eight million, five hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 64 71 86 104 106 128 142 172 208 212 256 284 344 416 424 559 568 688 689 832 848 923 1118 1136 1376 1378 1664 1696 1846 2236 2272 2279 2752 2756 3053 3328 3392 3692 3763 4472 4544 4558 5504 5512 6106 6784 7384 7526 8944 9088 9116 11008 11024 12212 13568 14768 15052 17888 18176 18232 22048 24424 29536 29627 30104 35776 36464 39689 44096 48848 48919 59072 59254 60208 71552 72928 79378 88192 97696 97838 118144 118508 120416 143104 145856 158756 161809 176384 195392 195676 236288 237016 240832 291712 317512 323618 390784 391352 474032 481664 583424 635024 647236 781568 782704 948064 963328 1270048 1294472 1565408 1896128 2103517 2540096 2588944 3130816 3792256 4207034 5080192 5177888 6261632 7584512 8414068 10160384 10355776 12523264 16828136 20711552 33656272 41423104 67312544 134625088 269250176 538500352