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149005896 = 23313539011
BaseRepresentation
bin10001110000110…
…10011001001000
3101101101021122220
420320122121020
5301121142041
622441414040
73456346344
oct1070323110
9341337586
10149005896
1177123376
1241a9a320
1324b41590
1415b0a624
15d134d66
hex8e1a648

149005896 has 64 divisors (see below), whose sum is σ = 408784320. Its totient is φ = 44977920.

The previous prime is 149005873. The next prime is 149005907. The reversal of 149005896 is 698500941.

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 15 ways as a sum of consecutive naturals, for example, 12031 + ... + 21041.

It is an arithmetic number, because the mean of its divisors is an integer number (6387255).

Almost surely, 2149005896 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 149005896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204392160).

149005896 is an abundant number, since it is smaller than the sum of its proper divisors (259778424).

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

149005896 is a wasteful number, since it uses less digits than its factorization.

149005896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 149005896 is about 12206.7971229148. The cubic root of 149005896 is about 530.1529118536.

The spelling of 149005896 in words is "one hundred forty-nine million, five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 9011 16536 18022 27033 36044 54066 72088 108132 117143 216264 234286 351429 468572 477583 702858 937144 955166 1405716 1432749 1910332 2811432 2865498 3820664 5730996 6208579 11461992 12417158 18625737 24834316 37251474 49668632 74502948 149005896