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42800264 = 2313231657
BaseRepresentation
bin1010001101000…
…1010010001000
32222112110220222
42203101102020
541424102024
64125205212
71026540053
oct243212210
988473828
1042800264
1122183521
1212400808
138b37300
145981a9a
153b5685e
hex28d1488

42800264 has 24 divisors (see below), whose sum is σ = 86901210. Its totient is φ = 19753344.

The previous prime is 42800257. The next prime is 42800279. The reversal of 42800264 is 46200824.

It can be written as a sum of positive squares in 3 ways, for example, as 21252100 + 21548164 = 4610^2 + 4642^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14477 + ... + 17180.

Almost surely, 242800264 is an apocalyptic number.

It is an amenable number.

42800264 is an abundant number, since it is smaller than the sum of its proper divisors (44100946).

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

42800264 is a wasteful number, since it uses less digits than its factorization.

42800264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31689 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 42800264 is about 6542.1910702761. The cubic root of 42800264 is about 349.7965184584.

The spelling of 42800264 in words is "forty-two million, eight hundred thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 31657 63314 126628 253256 411541 823082 1646164 3292328 5350033 10700066 21400132 42800264