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325642500 = 22325441353
BaseRepresentation
bin10011011010001…
…110100100000100
3211200202100112100
4103122032210010
51131331030000
652151352100
711032626021
oct2332164404
9750670470
10325642500
111578a9037
1291082630
1352608591
143136a548
151d8c6a00
hex1368e904

325642500 has 180 divisors, whose sum is σ = 1056683628. Its totient is φ = 84480000.

The previous prime is 325642489. The next prime is 325642511. The reversal of 325642500 is 5246523.

It is an interprime number because it is at equal distance from previous prime (325642489) and next prime (325642511).

It can be written as a sum of positive squares in 10 ways, for example, as 316057284 + 9585216 = 17778^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 922324 + ... + 922676.

Almost surely, 2325642500 is an apocalyptic number.

325642500 is a gapful number since it is divisible by the number (30) 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 325642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528341814).

325642500 is an abundant number, since it is smaller than the sum of its proper divisors (731041128).

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

325642500 is a wasteful number, since it uses less digits than its factorization.

325642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 325642500 is about 18045.5673227527. The cubic root of 325642500 is about 687.9872028673.

The spelling of 325642500 in words is "three hundred twenty-five million, six hundred forty-two thousand, five hundred".