Search a number
-
+
537999072 = 253132318743
BaseRepresentation
bin100000000100010…
…011011011100000
31101111100011222120
4200010103123200
52100211432242
6125215104240
716221626262
oct4004233340
91344304876
10537999072
11256760736
12130212080
13875cac60
1451647b32
15323721ec
hex201136e0

537999072 has 96 divisors (see below), whose sum is σ = 1587091968. Its totient is φ = 158332416.

The previous prime is 537999071. The next prime is 537999139. The reversal of 537999072 is 270999735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5379990722 = 578886002945722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537999071) 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, 19333 + ... + 38075.

It is an arithmetic number, because the mean of its divisors is an integer number (16532208).

Almost surely, 2537999072 is an apocalyptic number.

537999072 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 537999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793545984).

537999072 is an abundant number, since it is smaller than the sum of its proper divisors (1049092896).

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

537999072 is a wasteful number, since it uses less digits than its factorization.

537999072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18792 (or 18784 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 537999072 is about 23194.8070050173. The cubic root of 537999072 is about 813.3182337667.

The spelling of 537999072 in words is "five hundred thirty-seven million, nine hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1104 1196 1248 1794 2208 2392 3588 4784 7176 9568 14352 18743 28704 37486 56229 74972 112458 149944 224916 243659 299888 431089 449832 487318 599776 730977 862178 899664 974636 1293267 1461954 1724356 1799328 1949272 2586534 2923908 3448712 3898544 5173068 5604157 5847816 6897424 7797088 10346136 11208314 11695632 13794848 16812471 20692272 22416628 23391264 33624942 41384544 44833256 67249884 89666512 134499768 179333024 268999536 537999072