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149383296 = 2732314789
BaseRepresentation
bin10001110011101…
…10100010000000
3101102002110100200
420321312202000
5301220231141
622453445200
73462510546
oct1071664200
9342073320
10149383296
1177360977
1242040800
1324c442aa
1415ba7d96
15d1abab6
hex8e76880

149383296 has 192 divisors, whose sum is σ = 458265600. Its totient is φ = 46632960.

The previous prime is 149383261. The next prime is 149383349. The reversal of 149383296 is 692383941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 1678420 + ... + 1678508.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 2149383296 is an apocalyptic number.

149383296 is a gapful number since it is divisible by the number (16) 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 149383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229132800).

149383296 is an abundant number, since it is smaller than the sum of its proper divisors (308882304).

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

149383296 is a wasteful number, since it uses less digits than its factorization.

149383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 149383296 is about 12222.2459474517. The cubic root of 149383296 is about 530.6001224045.

The spelling of 149383296 in words is "one hundred forty-nine million, three hundred eighty-three thousand, two hundred ninety-six".