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149568672 = 25311141637
BaseRepresentation
bin10001110101000…
…11110010100000
3101102102212122110
420322203302200
5301242144142
622501435320
73464212161
oct1072436240
9342385573
10149568672
1177478180
124210bb40
1324caa796
1415c15768
15d1e699c
hex8ea3ca0

149568672 has 48 divisors (see below), whose sum is σ = 428313312. Its totient is φ = 45323520.

The previous prime is 149568659. The next prime is 149568673. The reversal of 149568672 is 276865941.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (149568673) 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, 69763 + ... + 71874.

It is an arithmetic number, because the mean of its divisors is an integer number (8923194).

Almost surely, 2149568672 is an apocalyptic number.

149568672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149568672 is an abundant number, since it is smaller than the sum of its proper divisors (278744640).

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

149568672 is a wasteful number, since it uses less digits than its factorization.

149568672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141661 (or 141653 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 149568672 is about 12229.8271451399. The cubic root of 149568672 is about 530.8195129977.

The spelling of 149568672 in words is "one hundred forty-nine million, five hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 141637 283274 424911 566548 849822 1133096 1558007 1699644 2266192 3116014 3399288 4532384 4674021 6232028 6798576 9348042 12464056 13597152 18696084 24928112 37392168 49856224 74784336 149568672