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149147296 = 25371031223
BaseRepresentation
bin10001110001111…
…00111010100000
3101101122110121221
420320330322200
5301140203141
622444424424
73460505524
oct1070747240
9341573557
10149147296
117720a631
1241b48114
1324b90a4c
1415b45d84
15d161bd1
hex8e3cea0

149147296 has 48 divisors (see below), whose sum is σ = 304746624. Its totient is φ = 71794944.

The previous prime is 149147291. The next prime is 149147303. The reversal of 149147296 is 692741941.

It is a super-2 number, since 2×1491472962 = 44489831808223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149147291) 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 7 ways as a sum of consecutive naturals, for example, 121341 + ... + 122563.

It is an arithmetic number, because the mean of its divisors is an integer number (6348888).

Almost surely, 2149147296 is an apocalyptic number.

149147296 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 149147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

149147296 is an abundant number, since it is smaller than the sum of its proper divisors (155599328).

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

149147296 is a wasteful number, since it uses less digits than its factorization.

149147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 149147296 is about 12212.5876045988. The cubic root of 149147296 is about 530.3205560517.

The spelling of 149147296 in words is "one hundred forty-nine million, one hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 74 103 148 206 296 412 592 824 1184 1223 1648 2446 3296 3811 4892 7622 9784 15244 19568 30488 39136 45251 60976 90502 121952 125969 181004 251938 362008 503876 724016 1007752 1448032 2015504 4031008 4660853 9321706 18643412 37286824 74573648 149147296