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9252707640 = 233511173147283
BaseRepresentation
bin10001001111000000…
…10001110100111000
3212212211121020201120
420213200101310320
5122422143121030
64130045345240
7445201501011
oct104740216470
925784536646
109252707640
113a18a04220
121962868220
13b45c30247
1463abd8008
15392498010
hex227811d38

9252707640 has 512 divisors, whose sum is σ = 33920778240. Its totient is φ = 1992499200.

The previous prime is 9252707603. The next prime is 9252707669. The reversal of 9252707640 is 467072529.

It is a super-2 number, since 2×92527076402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9252707592 and 9252707601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32694939 + ... + 32695221.

It is an arithmetic number, because the mean of its divisors is an integer number (66251520).

Almost surely, 29252707640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9252707640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16960389120).

9252707640 is an abundant number, since it is smaller than the sum of its proper divisors (24668070600).

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

9252707640 is a wasteful number, since it uses less digits than its factorization.

9252707640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 9252707640 is about 96190.9956284891. The cubic root of 9252707640 is about 2099.3730282507.

The spelling of 9252707640 in words is "nine billion, two hundred fifty-two million, seven hundred seven thousand, six hundred forty".