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149084896 = 252328807
BaseRepresentation
bin10001110001011…
…01101011100000
3101101112022000211
420320231223200
5301131204041
622443223504
73460125562
oct1070555340
9341468024
10149084896
1177177764
1241b17b94
1324b6b51c
1415b2b332
15d14d481
hex8e2dae0

149084896 has 36 divisors (see below), whose sum is σ = 306861912. Its totient is φ = 71293376.

The previous prime is 149084863. The next prime is 149084899. The reversal of 149084896 is 698480941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149084899) 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 5 ways as a sum of consecutive naturals, for example, 12525 + ... + 21331.

It is an arithmetic number, because the mean of its divisors is an integer number (8523942).

Almost surely, 2149084896 is an apocalyptic number.

149084896 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 149084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153430956).

149084896 is an abundant number, since it is smaller than the sum of its proper divisors (157777016).

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

149084896 is an equidigital number, since it uses as much as digits as its factorization.

149084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8832 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 149084896 is about 12210.0325961891. The cubic root of 149084896 is about 530.2465875216.

The spelling of 149084896 in words is "one hundred forty-nine million, eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 8807 16928 17614 35228 70456 140912 202561 281824 405122 810244 1620488 3240976 4658903 6481952 9317806 18635612 37271224 74542448 149084896