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538109352 = 233311376121
BaseRepresentation
bin100000000100101…
…110010110101000
31101111112210021000
4200010232112220
52100223444402
6125221315000
716222565634
oct4004562650
91344483230
10538109352
11256826580
12130265a60
1387639201
1451675dc4
1532394c1c
hex2012e5a8

538109352 has 128 divisors (see below), whose sum is σ = 1674979200. Its totient is φ = 158630400.

The previous prime is 538109329. The next prime is 538109387. The reversal of 538109352 is 253901835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84852 + ... + 90972.

It is an arithmetic number, because the mean of its divisors is an integer number (13085775).

Almost surely, 2538109352 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 538109352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837489600).

538109352 is an abundant number, since it is smaller than the sum of its proper divisors (1136869848).

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

538109352 is a wasteful number, since it uses less digits than its factorization.

538109352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 538109352 is about 23197.1841394597. The cubic root of 538109352 is about 813.3738017727.

The spelling of 538109352 in words is "five hundred thirty-eight million, one hundred nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 999 1188 1221 1332 1628 1998 2376 2442 2664 3256 3663 3996 4884 6121 7326 7992 9768 10989 12242 14652 18363 21978 24484 29304 36726 43956 48968 55089 67331 73452 87912 110178 134662 146904 165267 201993 220356 226477 269324 330534 403986 440712 452954 538648 605979 661068 679431 807972 905908 1211958 1322136 1358862 1615944 1811816 1817937 2038293 2423916 2491247 2717724 3635874 4076586 4847832 4982494 5435448 6114879 7271748 7473741 8153172 9964988 12229758 14543496 14947482 16306344 19929976 22421223 24459516 29894964 44842446 48919032 59789928 67263669 89684892 134527338 179369784 269054676 538109352