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253302816 = 25313202967
BaseRepresentation
bin11110001100100…
…01100000100000
3122122122010010210
433012101200200
51004321142231
641045054120
76164016114
oct1706214040
9578563123
10253302816
1111aa8a178
12709b7340
134062ab30
14258d9744
1517387a46
hexf191820

253302816 has 48 divisors (see below), whose sum is σ = 716071104. Its totient is φ = 77938944.

The previous prime is 253302799. The next prime is 253302821. The reversal of 253302816 is 618203352.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100236 + ... + 102731.

It is an arithmetic number, because the mean of its divisors is an integer number (14918148).

Almost surely, 2253302816 is an apocalyptic number.

253302816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

253302816 is an abundant number, since it is smaller than the sum of its proper divisors (462768288).

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

253302816 is a wasteful number, since it uses less digits than its factorization.

253302816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202993 (or 202985 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 253302816 is about 15915.4898133862. The cubic root of 253302816 is about 632.7225885744.

The spelling of 253302816 in words is "two hundred fifty-three million, three hundred two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 202967 405934 608901 811868 1217802 1623736 2435604 2638571 3247472 4871208 5277142 6494944 7915713 9742416 10554284 15831426 19484832 21108568 31662852 42217136 63325704 84434272 126651408 253302816