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149549568 = 293721987
BaseRepresentation
bin10001110100111…
…11001000000000
3101102101220102220
420322133020000
5301241041233
622501211040
73464102400
oct1072371000
9342356386
10149549568
1177464893
1242100a80
1324ca1b8c
1415c0c800
15d1e0eb3
hex8e9f200

149549568 has 120 divisors (see below), whose sum is σ = 463689072. Its totient is φ = 42706944.

The previous prime is 149549567. The next prime is 149549579. The reversal of 149549568 is 865945941.

149549568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149549568.

It is not an unprimeable number, because it can be changed into a prime (149549563) 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 11 ways as a sum of consecutive naturals, for example, 74271 + ... + 76257.

Almost surely, 2149549568 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 149549568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231844536).

149549568 is an abundant number, since it is smaller than the sum of its proper divisors (314139504).

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

149549568 is an equidigital number, since it uses as much as digits as its factorization.

149549568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1999 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 149549568 is about 12229.0460789057. The cubic root of 149549568 is about 530.7969119908.

The spelling of 149549568 in words is "one hundred forty-nine million, five hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 1987 2352 2688 3136 3584 3974 4704 5376 5961 6272 7948 9408 10752 11922 12544 13909 15896 18816 23844 25088 27818 31792 37632 41727 47688 55636 63584 75264 83454 95376 97363 111272 127168 166908 190752 194726 222544 254336 292089 333816 381504 389452 445088 508672 584178 667632 763008 778904 890176 1017344 1168356 1335264 1526016 1557808 1780352 2336712 2670528 3052032 3115616 3560704 4673424 5341056 6231232 7121408 9346848 10682112 12462464 18693696 21364224 24924928 37387392 49849856 74774784 149549568