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149857344 = 2633713953
BaseRepresentation
bin10001110111010…
…10010001000000
3101102222112122000
420323222101000
5301330413334
622511544000
73466523610
oct1073522100
9342875560
10149857344
117765504a
124222b000
132507bcb0
1415c8ca40
15d252299
hex8eea440

149857344 has 224 divisors, whose sum is σ = 542787840. Its totient is φ = 39481344.

The previous prime is 149857339. The next prime is 149857349. The reversal of 149857344 is 443758941.

It is an interprime number because it is at equal distance from previous prime (149857339) and next prime (149857349).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 149857344.

It is not an unprimeable number, because it can be changed into a prime (149857349) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156772 + ... + 157724.

It is an arithmetic number, because the mean of its divisors is an integer number (2423160).

Almost surely, 2149857344 is an apocalyptic number.

149857344 is a gapful number since it is divisible by the number (14) 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 149857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271393920).

149857344 is an abundant number, since it is smaller than the sum of its proper divisors (392930496).

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

149857344 is a wasteful number, since it uses less digits than its factorization.

149857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 978 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 149857344 is about 12241.6234217525. The cubic root of 149857344 is about 531.1607926982.

The spelling of 149857344 in words is "one hundred forty-nine million, eight hundred fifty-seven thousand, three hundred forty-four".