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538664100 = 2235213592341
BaseRepresentation
bin100000000110110…
…101110010100100
31101112120222020020
4200012311302210
52100344222400
6125241235140
716230366162
oct4006656244
91345528206
10538664100
11257075347
12130492ab0
13877a1870
145177c232
15324542a0
hex201b5ca4

538664100 has 144 divisors (see below), whose sum is σ = 1707599040. Its totient is φ = 130291200.

The previous prime is 538664089. The next prime is 538664101. The reversal of 538664100 is 1466835.

It is not an unprimeable number, because it can be changed into a prime (538664101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228930 + ... + 231270.

Almost surely, 2538664100 is an apocalyptic number.

538664100 is a gapful number since it is divisible by the number (50) 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 538664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853799520).

538664100 is an abundant number, since it is smaller than the sum of its proper divisors (1168934940).

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

538664100 is a wasteful number, since it uses less digits than its factorization.

538664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 538664100 is about 23209.1382864595. The cubic root of 538664100 is about 813.6532137054.

The spelling of 538664100 in words is "five hundred thirty-eight million, six hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 590 650 708 767 780 885 975 1180 1300 1475 1534 1770 1950 2301 2341 2950 3068 3540 3835 3900 4425 4602 4682 5900 7023 7670 8850 9204 9364 11505 11705 14046 15340 17700 19175 23010 23410 28092 30433 35115 38350 46020 46820 57525 58525 60866 70230 76700 91299 115050 117050 121732 138119 140460 152165 175575 182598 230100 234100 276238 304330 351150 365196 414357 456495 552476 608660 690595 702300 760825 828714 912990 1381190 1521650 1657428 1795547 1825980 2071785 2282475 2762380 3043300 3452975 3591094 4143570 4564950 5386641 6905950 7182188 8287140 8977735 9129900 10358925 10773282 13811900 17955470 20717850 21546564 26933205 35910940 41435700 44888675 53866410 89777350 107732820 134666025 179554700 269332050 538664100