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149347296 = 25327219557
BaseRepresentation
bin10001110011011…
…01101111100000
3101102000121222100
420321231233200
5301213103141
622453010400
73462300600
oct1071555740
9342017870
10149347296
117733691a
1242023a00
1324c30aa7
1415b98c00
15d1a10b6
hex8e6dbe0

149347296 has 216 divisors, whose sum is σ = 520982280. Its totient is φ = 40352256.

The previous prime is 149347271. The next prime is 149347321. The reversal of 149347296 is 692743941.

It is a happy number.

149347296 is a `hidden beast` number, since 1 + 4 + 93 + 472 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (149347271) and next prime (149347321).

It is a super-2 number, since 2×1493472962 = 44609229645023232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267850 + ... + 268406.

It is an arithmetic number, because the mean of its divisors is an integer number (2411955).

Almost surely, 2149347296 is an apocalyptic number.

149347296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149347296 is the 7056-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491140).

149347296 is an abundant number, since it is smaller than the sum of its proper divisors (371634984).

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

149347296 is a wasteful number, since it uses less digits than its factorization.

149347296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 149347296 is about 12220.7731342988. The cubic root of 149347296 is about 530.5574957308.

The spelling of 149347296 in words is "one hundred forty-nine million, three hundred forty-seven thousand, two hundred ninety-six".