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149746688 = 2107131607
BaseRepresentation
bin10001110110011…
…11010000000000
3101102202220211122
420323033100000
5301313343223
622505331412
73465553160
oct1073172000
9342686748
10149746688
11775899a3
1242196b68
1325040810
1415c605a0
15d22e5c8
hex8ecf400

149746688 has 88 divisors (see below), whose sum is σ = 368656512. Its totient is φ = 59203584.

The previous prime is 149746687. The next prime is 149746711. The reversal of 149746688 is 886647941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149746687) 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 7 ways as a sum of consecutive naturals, for example, 92381 + ... + 93987.

Almost surely, 2149746688 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 149746688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184328256).

149746688 is an abundant number, since it is smaller than the sum of its proper divisors (218909824).

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

149746688 is a wasteful number, since it uses less digits than its factorization.

149746688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1629 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 53.

The square root of 149746688 is about 12237.1029251208. The cubic root of 149746688 is about 531.0300225494.

The spelling of 149746688 in words is "one hundred forty-nine million, seven hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1607 1664 1792 2912 3214 3328 3584 5824 6428 6656 7168 11249 11648 12856 13312 20891 22498 23296 25712 41782 44996 46592 51424 83564 89992 93184 102848 146237 167128 179984 205696 292474 334256 359968 411392 584948 668512 719936 822784 1169896 1337024 1439872 1645568 2339792 2674048 2879744 4679584 5348096 5759488 9359168 10696192 11518976 18718336 21392384 37436672 74873344 149746688