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149947872 = 2532635939
BaseRepresentation
bin10001111000000…
…00010111100000
3101110011010210220
420330000113200
5301341312442
622513523040
73500351544
oct1074002740
9343133726
10149947872
1177707068
1242273480
13250b1269
1415cb3a24
15d26deec
hex8f005e0

149947872 has 48 divisors (see below), whose sum is σ = 395176320. Its totient is φ = 49784192.

The previous prime is 149947859. The next prime is 149947873. The reversal of 149947872 is 278749941.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149947873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22279 + ... + 28217.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2149947872 is an apocalyptic number.

149947872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149947872 is an abundant number, since it is smaller than the sum of its proper divisors (245228448).

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

149947872 is a wasteful number, since it uses less digits than its factorization.

149947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6207 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 149947872 is about 12245.3204123044. The cubic root of 149947872 is about 531.2677282757.

The spelling of 149947872 in words is "one hundred forty-nine million, nine hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 5939 6312 8416 11878 12624 17817 23756 25248 35634 47512 71268 95024 142536 190048 285072 570144 1561957 3123914 4685871 6247828 9371742 12495656 18743484 24991312 37486968 49982624 74973936 149947872