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139952352 = 2533123741
BaseRepresentation
bin10000101011110…
…00000011100000
3100202100022112110
420111320003200
5241311433402
621515355320
73316401231
oct1025700340
9322308473
10139952352
1171aaa301
123aa52b40
1322cc1757
1414831088
15c44756c
hex85780e0

139952352 has 144 divisors (see below), whose sum is σ = 399376656. Its totient is φ = 42854400.

The previous prime is 139952341. The next prime is 139952357. The reversal of 139952352 is 253259931.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 139952352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139952357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3413452 + ... + 3413492.

It is an arithmetic number, because the mean of its divisors is an integer number (2773449).

Almost surely, 2139952352 is an apocalyptic number.

139952352 is a gapful number since it is divisible by the number (12) 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 139952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199688328).

139952352 is an abundant number, since it is smaller than the sum of its proper divisors (259424304).

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

139952352 is a wasteful number, since it uses less digits than its factorization.

139952352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

The product of its digits is 72900, while the sum is 39.

The square root of 139952352 is about 11830.1458993539. The cubic root of 139952352 is about 519.1904958916.

The spelling of 139952352 in words is "one hundred thirty-nine million, nine hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 41 48 62 74 82 93 96 111 123 124 148 164 186 222 246 248 296 328 372 444 492 496 592 656 744 888 961 984 992 1147 1184 1271 1312 1488 1517 1776 1922 1968 2294 2542 2883 2976 3034 3441 3552 3813 3844 3936 4551 4588 5084 5766 6068 6882 7626 7688 9102 9176 10168 11532 12136 13764 15252 15376 18204 18352 20336 23064 24272 27528 30504 30752 35557 36408 36704 39401 40672 46128 47027 48544 55056 61008 71114 72816 78802 92256 94054 106671 110112 118203 122016 141081 142228 145632 157604 188108 213342 236406 282162 284456 315208 376216 426684 472812 564324 568912 630416 752432 853368 945624 1128648 1137824 1260832 1457837 1504864 1706736 1891248 2257296 2915674 3413472 3782496 4373511 4514592 5831348 8747022 11662696 17494044 23325392 34988088 46650784 69976176 139952352