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149474376 = 23333759317
BaseRepresentation
bin10001110100011…
…00110001001000
3101102021002022000
420322030301020
5301231140001
622455431000
73463340232
oct1072146110
9342232260
10149474376
1177413347
1242085460
1324c7689c
1415bcd252
15d1c8a86
hex8e8cc48

149474376 has 128 divisors (see below), whose sum is σ = 435024000. Its totient is φ = 47506176.

The previous prime is 149474371. The next prime is 149474389. The reversal of 149474376 is 673474941.

149474376 is a `hidden beast` number, since 149 + 474 + 37 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149474371) by changing a digit.

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, 471370 + ... + 471686.

It is an arithmetic number, because the mean of its divisors is an integer number (3398625).

Almost surely, 2149474376 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 149474376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217512000).

149474376 is an abundant number, since it is smaller than the sum of its proper divisors (285549624).

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

149474376 is a wasteful number, since it uses less digits than its factorization.

149474376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 149474376 is about 12225.9713724514. The cubic root of 149474376 is about 530.7079373164.

The spelling of 149474376 in words is "one hundred forty-nine million, four hundred seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 59 72 74 108 111 118 148 177 216 222 236 296 317 333 354 444 472 531 634 666 708 888 951 999 1062 1268 1332 1416 1593 1902 1998 2124 2183 2536 2664 2853 3186 3804 3996 4248 4366 5706 6372 6549 7608 7992 8559 8732 11412 11729 12744 13098 17118 17464 18703 19647 22824 23458 26196 34236 35187 37406 39294 46916 52392 56109 58941 68472 70374 74812 78588 93832 105561 112218 117882 140748 149624 157176 168327 211122 224436 235764 281496 316683 336654 422244 448872 471528 504981 633366 673308 692011 844488 1009962 1266732 1346616 1384022 2019924 2076033 2533464 2768044 4039848 4152066 5536088 6228099 8304132 12456198 16608264 18684297 24912396 37368594 49824792 74737188 149474376