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149352 = 23372127
BaseRepresentation
bin100100011101101000
321120212120
4210131220
514234402
63111240
71161300
oct443550
9246776
10149352
11a2235
1272520
1352c98
143c600
152e3bc
hex24768

149352 has 48 divisors (see below), whose sum is σ = 437760. Its totient is φ = 42336.

The previous prime is 149351. The next prime is 149371. The reversal of 149352 is 253941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (149351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1113 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (9120).

2149352 is an apocalyptic number.

149352 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 149352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

149352 is an abundant number, since it is smaller than the sum of its proper divisors (288408).

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

149352 is a wasteful number, since it uses less digits than its factorization.

149352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 149352 is about 386.4608647716. The cubic root of 149352 is about 53.0563066005.

The spelling of 149352 in words is "one hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 127 147 168 196 254 294 381 392 508 588 762 889 1016 1176 1524 1778 2667 3048 3556 5334 6223 7112 10668 12446 18669 21336 24892 37338 49784 74676 149352