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252314946 = 233131918917
BaseRepresentation
bin11110000101000…
…00010101000010
3122120202221001000
433002200111002
51004043034241
641011552430
76152433042
oct1702402502
9576687030
10252314946
1111a474a54
12705bb716
13403732b0
142571d722
151723eeb6
hexf0a0542

252314946 has 64 divisors (see below), whose sum is σ = 635644800. Its totient is φ = 73545408.

The previous prime is 252314747. The next prime is 252314957. The reversal of 252314946 is 649413252.

It is a happy number.

252314946 is a `hidden beast` number, since 252 + 314 + 94 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252314946.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (9931950).

Almost surely, 2252314946 is an apocalyptic number.

252314946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 252314946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317822400).

252314946 is an abundant number, since it is smaller than the sum of its proper divisors (383329854).

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

252314946 is a wasteful number, since it uses less digits than its factorization.

252314946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18960 (or 18954 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 252314946 is about 15884.4246354723. The cubic root of 252314946 is about 631.8989867533.

The spelling of 252314946 in words is "two hundred fifty-two million, three hundred fourteen thousand, nine hundred forty-six".