Search a number
-
+
149464656 = 24331171443
BaseRepresentation
bin10001110100010…
…10011001010000
3101102020120222000
420322022121100
5301230332111
622455314000
73463300005
oct1072123120
9342216860
10149464656
1177407010
124207b900
1324c72333
1415bc98ac
15d1c5c56
hex8e8a650

149464656 has 160 divisors (see below), whose sum is σ = 475683840. Its totient is φ = 44553600.

The previous prime is 149464633. The next prime is 149464669. The reversal of 149464656 is 656464941.

It is a happy number.

149464656 is a `hidden beast` number, since 149 + 46 + 465 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337171 + ... + 337613.

It is an arithmetic number, because the mean of its divisors is an integer number (2973024).

Almost surely, 2149464656 is an apocalyptic number.

149464656 is a gapful number since it is divisible by the number (16) 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 149464656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237841920).

149464656 is an abundant number, since it is smaller than the sum of its proper divisors (326219184).

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

149464656 is a wasteful number, since it uses less digits than its factorization.

149464656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 149464656 is about 12225.5738515621. The cubic root of 149464656 is about 530.6964334652.

The spelling of 149464656 in words is "one hundred forty-nine million, four hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 71 72 88 99 108 132 142 144 176 198 213 216 264 284 297 396 426 432 443 528 568 594 639 781 792 852 886 1136 1188 1278 1329 1562 1584 1704 1772 1917 2343 2376 2556 2658 3124 3408 3544 3834 3987 4686 4752 4873 5112 5316 6248 7029 7088 7668 7974 9372 9746 10224 10632 11961 12496 14058 14619 15336 15948 18744 19492 21087 21264 23922 28116 29238 30672 31453 31896 37488 38984 42174 43857 47844 56232 58476 62906 63792 77968 84348 87714 94359 95688 112464 116952 125812 131571 168696 175428 188718 191376 233904 251624 263142 283077 337392 345983 350856 377436 503248 526284 566154 691966 701712 754872 849231 1037949 1052568 1132308 1383932 1509744 1698462 2075898 2105136 2264616 2767864 3113847 3396924 4151796 4529232 5535728 6227694 6793848 8303592 9341541 12455388 13587696 16607184 18683082 24910776 37366164 49821552 74732328 149464656