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952134912 = 2834173773
BaseRepresentation
bin111000110000000…
…110110100000000
32110100121110120000
4320300012310000
53422221304122
6234251320000
732411004351
oct7060066400
92410543500
10952134912
11449501063
12226a50000
1312234b751
149064bd28
15588c90ac
hex38c06d00

952134912 has 360 divisors, whose sum is σ = 3129637896. Its totient is φ = 286654464.

The previous prime is 952134907. The next prime is 952134919. The reversal of 952134912 is 219431259.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 460359936 = 22176^2 + 21456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952134919) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13042908 + ... + 13042980.

Almost surely, 2952134912 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 952134912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564818948).

952134912 is an abundant number, since it is smaller than the sum of its proper divisors (2177502984).

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

952134912 is a wasteful number, since it uses less digits than its factorization.

952134912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 952134912 is about 30856.6834251512. The cubic root of 952134912 is about 983.7834145564.

The spelling of 952134912 in words is "nine hundred fifty-two million, one hundred thirty-four thousand, nine hundred twelve".