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52960320 = 2632573771
BaseRepresentation
bin1100101000000…
…1110001000000
310200122122220100
43022001301000
5102024212240
65131042400
71212104160
oct312016100
9120578810
1052960320
1127992966
12158a0400
13ac8398a
1470685a0
1549b1e30
hex3281c40

52960320 has 336 divisors, whose sum is σ = 216822528. Its totient is φ = 11612160.

The previous prime is 52960319. The next prime is 52960361. The reversal of 52960320 is 2306925.

52960320 is a `hidden beast` number, since 52 + 9 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745885 + ... + 745955.

Almost surely, 252960320 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 52960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

52960320 is an abundant number, since it is smaller than the sum of its proper divisors (163862208).

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

52960320 is a wasteful number, since it uses less digits than its factorization.

52960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52960320 is about 7277.3841454193. The cubic root of 52960320 is about 375.5348102454.

The spelling of 52960320 in words is "fifty-two million, nine hundred sixty thousand, three hundred twenty".