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149759872 = 271736763
BaseRepresentation
bin10001110110100…
…10011110000000
3101102210120220221
420323102132000
5301314303442
622505512424
73465636463
oct1073223600
9342716827
10149759872
1177598899
12421a2714
1325046812
1415c652da
15d233467
hex8ed2780

149759872 has 32 divisors (see below), whose sum is σ = 300118680. Its totient is φ = 74436096.

The previous prime is 149759867. The next prime is 149759891. The reversal of 149759872 is 278957941.

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

It is a super-2 number, since 2×1497598722 = 44856038522912768, which contains 22 as substring.

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, 18763 + ... + 25525.

Almost surely, 2149759872 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 149759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150059340).

149759872 is an abundant number, since it is smaller than the sum of its proper divisors (150358808).

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

149759872 is an equidigital number, since it uses as much as digits as its factorization.

149759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6938 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 52.

The square root of 149759872 is about 12237.6416028580. The cubic root of 149759872 is about 531.0456064096.

The spelling of 149759872 in words is "one hundred forty-nine million, seven hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 6763 11072 13526 22144 27052 54104 108208 216416 432832 865664 1169999 2339998 4679996 9359992 18719984 37439968 74879936 149759872