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149450624 = 271916113
BaseRepresentation
bin10001110100001…
…10111110000000
3101102012212201022
420322012332000
5301224404444
622455125012
73463211051
oct1072067600
9342185638
10149450624
11773a7514
1242073768
1324c68b2b
1415bc4728
15d1c19ee
hex8e86f80

149450624 has 32 divisors (see below), whose sum is σ = 299341440. Its totient is φ = 74321920.

The previous prime is 149450611. The next prime is 149450633. The reversal of 149450624 is 426054941.

It is a Cunningham number, because it is equal to 122252-1.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21392 + ... + 27504.

It is an arithmetic number, because the mean of its divisors is an integer number (9354420).

Almost surely, 2149450624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149670720).

149450624 is an abundant number, since it is smaller than the sum of its proper divisors (149890816).

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

149450624 is an equidigital number, since it uses as much as digits as its factorization.

149450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 149450624 is about 12224.9999591002. Note that the first 4 decimals coincide. The cubic root of 149450624 is about 530.6798253796.

The spelling of 149450624 in words is "one hundred forty-nine million, four hundred fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 6112 6113 12224 12226 24448 24452 48904 97808 195616 391232 782464 1167583 2335166 4670332 9340664 18681328 37362656 74725312 149450624