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149804368 = 24721091753
BaseRepresentation
bin10001110110111…
…01010101010000
3101102212211221221
420323131111100
5301322214433
622510454424
73466213300
oct1073352520
9342784857
10149804368
117761926a
1242204414
1325060b4c
1415c77600
15d24172d
hex8edd550

149804368 has 60 divisors (see below), whose sum is σ = 340924980. Its totient is φ = 63576576.

The previous prime is 149804353. The next prime is 149804371. The reversal of 149804368 is 863408941.

149804368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 105021504 = 6692^2 + 10248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84580 + ... + 86332.

It is an arithmetic number, because the mean of its divisors is an integer number (5682083).

Almost surely, 2149804368 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 149804368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170462490).

149804368 is an abundant number, since it is smaller than the sum of its proper divisors (191120612).

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

149804368 is a wasteful number, since it uses less digits than its factorization.

149804368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 149804368 is about 12239.4594651888. The cubic root of 149804368 is about 531.0981951864.

The spelling of 149804368 in words is "one hundred forty-nine million, eight hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1526 1744 1753 3052 3506 5341 6104 7012 10682 12208 12271 14024 21364 24542 28048 42728 49084 85456 85897 98168 171794 191077 196336 343588 382154 687176 764308 1337539 1374352 1528616 2675078 3057232 5350156 9362773 10700312 18725546 21400624 37451092 74902184 149804368