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149325264 = 243211313041
BaseRepresentation
bin10001110011010…
…00010111010000
3101101222111202100
420321220113100
5301211402024
622452320400
73462146424
oct1071502720
9341874670
10149325264
1177321310
1242013100
1324c23a5a
1415b90b84
15d1997c9
hex8e685d0

149325264 has 120 divisors (see below), whose sum is σ = 470755584. Its totient is φ = 43776000.

The previous prime is 149325257. The next prime is 149325271. The reversal of 149325264 is 462523941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149325257) and next prime (149325271).

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 23 ways as a sum of consecutive naturals, for example, 47584 + ... + 50624.

Almost surely, 2149325264 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 149325264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235377792).

149325264 is an abundant number, since it is smaller than the sum of its proper divisors (321430320).

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

149325264 is a wasteful number, since it uses less digits than its factorization.

149325264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3088 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 149325264 is about 12219.8716850874. The cubic root of 149325264 is about 530.5314048275.

The spelling of 149325264 in words is "one hundred forty-nine million, three hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3041 3069 4092 4464 5456 6082 6138 8184 9123 12164 12276 16368 18246 24328 24552 27369 33451 36492 48656 49104 54738 66902 72984 94271 100353 109476 133804 145968 188542 200706 218952 267608 282813 301059 377084 401412 437904 535216 565626 602118 754168 802824 848439 1036981 1131252 1204236 1508336 1605648 1696878 2073962 2262504 2408472 3110943 3393756 4147924 4525008 4816944 6221886 6787512 8295848 9332829 12443772 13575024 16591696 18665658 24887544 37331316 49775088 74662632 149325264