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149869872 = 2433192312
BaseRepresentation
bin10001110111011…
…01010100110000
3101110000011211000
420323231110300
5301331313442
622512122000
73466605255
oct1073552460
9343004730
10149869872
11776634a9
1242236300
13250848c9
1415c9342c
15d255d4c
hex8eed530

149869872 has 180 divisors, whose sum is σ = 469132920. Its totient is φ = 45800640.

The previous prime is 149869831. The next prime is 149869879. The reversal of 149869872 is 278968941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

149869872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1498698723 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (149869879) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4834497 + ... + 4834527.

It is an arithmetic number, because the mean of its divisors is an integer number (2606294).

Almost surely, 2149869872 is an apocalyptic number.

149869872 is a gapful number since it is divisible by the number (12) 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 149869872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234566460).

149869872 is an abundant number, since it is smaller than the sum of its proper divisors (319263048).

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

149869872 is a wasteful number, since it uses less digits than its factorization.

149869872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 55 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 149869872 is about 12242.1351078968. The cubic root of 149869872 is about 531.1755938792.

The spelling of 149869872 in words is "one hundred forty-nine million, eight hundred sixty-nine thousand, eight hundred seventy-two".