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152325450 = 23252734637
BaseRepresentation
bin10010001010001…
…00110101001010
3101121121221020100
421011010311022
5302443403300
623040510230
73526513344
oct1105046512
9347557210
10152325450
1178a90402
124301b376
1325734504
1416332294
15d58d700
hex9144d4a

152325450 has 72 divisors (see below), whose sum is σ = 414943308. Its totient is φ = 40055040.

The previous prime is 152325427. The next prime is 152325461. The reversal of 152325450 is 54523251.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41254929 + 111070521 = 6423^2 + 10539^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30532 + ... + 35168.

Almost surely, 2152325450 is an apocalyptic number.

152325450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152325450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207471654).

152325450 is an abundant number, since it is smaller than the sum of its proper divisors (262617858).

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

152325450 is a wasteful number, since it uses less digits than its factorization.

152325450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 152325450 is about 12342.0196888516. The cubic root of 152325450 is about 534.0609491514.

The spelling of 152325450 in words is "one hundred fifty-two million, three hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1825 2190 3285 3650 4637 5475 6570 9274 10950 13911 16425 23185 27822 32850 41733 46370 69555 83466 115925 139110 208665 231850 338501 347775 417330 677002 695550 1015503 1043325 1692505 2031006 2086650 3046509 3385010 5077515 6093018 8462525 10155030 15232545 16925050 25387575 30465090 50775150 76162725 152325450