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149491164 = 223195389139
BaseRepresentation
bin10001110100100…
…00110111011100
3101102021221022210
420322100313130
5301232204124
622500040420
73463440204
oct1072206734
9342257283
10149491164
1177424a19
1242093110
1324c81414
1415bd5404
15d1cda29
hex8e90ddc

149491164 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 45467136.

The previous prime is 149491163. The next prime is 149491171. The reversal of 149491164 is 461194941.

149491164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1494911642 = 44695216228149792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149491163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075407 + ... + 1075545.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2149491164 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 149491164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

149491164 is an abundant number, since it is smaller than the sum of its proper divisors (231532836).

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

149491164 is a wasteful number, since it uses less digits than its factorization.

149491164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 149491164 is about 12226.6579243880. The cubic root of 149491164 is about 530.7278051394.

The spelling of 149491164 in words is "one hundred forty-nine million, four hundred ninety-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 89 106 114 139 159 178 212 228 267 278 318 356 417 534 556 636 834 1007 1068 1668 1691 2014 2641 3021 3382 4028 4717 5073 5282 6042 6764 7367 7923 9434 10146 10564 12084 12371 14151 14734 15846 18868 20292 22101 24742 28302 29468 31692 37113 44202 49484 56604 74226 88404 89623 139973 148452 179246 235049 268869 279946 358492 419919 470098 537738 559892 655663 705147 839838 940196 1075476 1311326 1410294 1679676 1966989 2622652 2820588 3933978 7867956 12457597 24915194 37372791 49830388 74745582 149491164