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149552352 = 2533179967
BaseRepresentation
bin10001110100111…
…11110011100000
3101102102001021000
420322133303200
5301241133402
622501232000
73464113455
oct1072376340
9342361230
10149552352
1177466994
1242102600
1324ca3221
1415c0d82c
15d1e1c1c
hex8e9fce0

149552352 has 96 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 49521024.

The previous prime is 149552329. The next prime is 149552387. The reversal of 149552352 is 253255941.

It is a happy number.

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

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

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, 154173 + ... + 155139.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2149552352 is an apocalyptic number.

149552352 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 149552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

149552352 is an abundant number, since it is smaller than the sum of its proper divisors (289532448).

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

149552352 is a wasteful number, since it uses less digits than its factorization.

149552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1151 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 149552352 is about 12229.1599057335. The cubic root of 149552352 is about 530.8002057247.

The spelling of 149552352 in words is "one hundred forty-nine million, five hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 179 216 288 358 432 537 716 864 967 1074 1432 1611 1934 2148 2864 2901 3222 3868 4296 4833 5728 5802 6444 7736 8592 8703 9666 11604 12888 15472 17184 17406 19332 23208 25776 26109 30944 34812 38664 46416 51552 52218 69624 77328 92832 104436 139248 154656 173093 208872 278496 346186 417744 519279 692372 835488 1038558 1384744 1557837 2077116 2769488 3115674 4154232 4673511 5538976 6231348 8308464 9347022 12462696 16616928 18694044 24925392 37388088 49850784 74776176 149552352