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149318928 = 243211107881
BaseRepresentation
bin10001110011001…
…10110100010000
3101101222012001200
420321212310100
5301211201203
622452231200
73462122103
oct1071466420
9341865050
10149318928
1177317580
124200b500
1324c20bc5
1415b8c73a
15d1979a3
hex8e66d10

149318928 has 120 divisors (see below), whose sum is σ = 460658016. Its totient is φ = 44774400.

The previous prime is 149318879. The next prime is 149318951. The reversal of 149318928 is 829813941.

It is a super-2 number, since 2×1493189282 = 44592284518138368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 169048 + ... + 169928.

Almost surely, 2149318928 is an apocalyptic number.

149318928 is a gapful number since it is divisible by the number (18) 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 149318928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230329008).

149318928 is an abundant number, since it is smaller than the sum of its proper divisors (311339088).

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

149318928 is a wasteful number, since it uses less digits than its factorization.

149318928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1004 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 149318928 is about 12219.6124324792. The cubic root of 149318928 is about 530.5239010860.

The spelling of 149318928 in words is "one hundred forty-nine million, three hundred eighteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 107 132 144 176 198 214 264 321 396 428 528 642 792 856 881 963 1177 1284 1584 1712 1762 1926 2354 2568 2643 3524 3531 3852 4708 5136 5286 7048 7062 7704 7929 9416 9691 10572 10593 14096 14124 15408 15858 18832 19382 21144 21186 28248 29073 31716 38764 42288 42372 56496 58146 63432 77528 84744 87219 94267 116292 126864 155056 169488 174438 188534 232584 282801 348876 377068 465168 565602 697752 754136 848403 1036937 1131204 1395504 1508272 1696806 2073874 2262408 3110811 3393612 4147748 4524816 6221622 6787224 8295496 9332433 12443244 13574448 16590992 18664866 24886488 37329732 49772976 74659464 149318928