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10325952 = 2632713197
BaseRepresentation
bin100111011000…
…111111000000
3201102121112200
4213120333000
510120412302
61005153200
7153524550
oct47307700
921377480
1010325952
11591304a
12355b800
1321a7040
14152b160
15d8e81c
hex9d8fc0

10325952 has 168 divisors, whose sum is σ = 36612576. Its totient is φ = 2709504.

The previous prime is 10325951. The next prime is 10325957. The reversal of 10325952 is 25952301.

10325952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52318 + ... + 52514.

It is an arithmetic number, because the mean of its divisors is an integer number (217932).

Almost surely, 210325952 is an apocalyptic number.

10325952 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 10325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18306288).

10325952 is an abundant number, since it is smaller than the sum of its proper divisors (26286624).

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

10325952 is a wasteful number, since it uses less digits than its factorization.

10325952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10325952 is about 3213.4019356439. The cubic root of 10325952 is about 217.7592944037.

The spelling of 10325952 in words is "ten million, three hundred twenty-five thousand, nine hundred fifty-two".