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149674272 = 25311413457
BaseRepresentation
bin10001110101111…
…01100100100000
3101102122020111120
420322331210200
5301304034042
622504012240
73465132066
oct1072754440
9342566446
10149674272
117753a550
1242161080
1325016877
1415c42036
15d217dec
hex8ebd920

149674272 has 96 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 44236800.

The previous prime is 149674243. The next prime is 149674277. The reversal of 149674272 is 272476941.

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

It is not an unprimeable number, because it can be changed into a prime (149674277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41568 + ... + 45024.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2149674272 is an apocalyptic number.

149674272 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 149674272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

149674272 is an abundant number, since it is smaller than the sum of its proper divisors (289519392).

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

149674272 is a wasteful number, since it uses less digits than its factorization.

149674272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3514 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 149674272 is about 12234.1436970472. The cubic root of 149674272 is about 530.9444084786.

The spelling of 149674272 in words is "one hundred forty-nine million, six hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3457 3608 3936 5412 6914 7216 10371 10824 13828 14432 20742 21648 27656 38027 41484 43296 55312 76054 82968 110624 114081 141737 152108 165936 228162 283474 304216 331872 425211 456324 566948 608432 850422 912648 1133896 1216864 1559107 1700844 1825296 2267792 3118214 3401688 3650592 4535584 4677321 6236428 6803376 9354642 12472856 13606752 18709284 24945712 37418568 49891424 74837136 149674272