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149330608 = 2477189211
BaseRepresentation
bin10001110011010…
…01101010110000
3101101222210002021
420321221222300
5301212034413
622452401224
73462201130
oct1071515260
9341883067
10149330608
1177325329
1242016214
1324c2630b
1415b92ac0
15d19b18d
hex8e69ab0

149330608 has 80 divisors (see below), whose sum is σ = 340692480. Its totient is φ = 62092800.

The previous prime is 149330603. The next prime is 149330617. The reversal of 149330608 is 806033941.

149330608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149330603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707623 + ... + 707833.

It is an arithmetic number, because the mean of its divisors is an integer number (4258656).

Almost surely, 2149330608 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 149330608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170346240).

149330608 is an abundant number, since it is smaller than the sum of its proper divisors (191361872).

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

149330608 is a wasteful number, since it uses less digits than its factorization.

149330608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 149330608 is about 12220.0903433649. The cubic root of 149330608 is about 530.5377335757.

The spelling of 149330608 in words is "one hundred forty-nine million, three hundred thirty thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 71 89 112 142 178 211 284 356 422 497 568 623 712 844 994 1136 1246 1424 1477 1688 1988 2492 2954 3376 3976 4984 5908 6319 7952 9968 11816 12638 14981 18779 23632 25276 29962 37558 44233 50552 59924 75116 88466 101104 104867 119848 131453 150232 176932 209734 239696 262906 300464 353864 419468 525812 707728 838936 1051624 1333309 1677872 2103248 2666618 5333236 9333163 10666472 18666326 21332944 37332652 74665304 149330608