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70812800 = 275222129
BaseRepresentation
bin1000011100010…
…00010010000000
311221020122220022
410032020102000
5121112002200
611005433012
71516620212
oct416102200
9157218808
1070812800
1136a76783
121b86b768
1311894786
1495945b2
15633b885
hex4388480

70812800 has 48 divisors (see below), whose sum is σ = 174937650. Its totient is φ = 28323840.

The previous prime is 70812779. The next prime is 70812821. The reversal of 70812800 is 821807.

It is an interprime number because it is at equal distance from previous prime (70812779) and next prime (70812821).

It can be written as a sum of positive squares in 3 ways, for example, as 66716224 + 4096576 = 8168^2 + 2024^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 70812800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7865 + ... + 14264.

Almost surely, 270812800 is an apocalyptic number.

It is an amenable number.

70812800 is an abundant number, since it is smaller than the sum of its proper divisors (104124850).

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

70812800 is a wasteful number, since it uses less digits than its factorization.

70812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22153 (or 22136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 70812800 is about 8415.0341651119. The cubic root of 70812800 is about 413.7175292377.

The spelling of 70812800 in words is "seventy million, eight hundred twelve thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 22129 44258 88516 110645 177032 221290 354064 442580 553225 708128 885160 1106450 1416256 1770320 2212900 2832512 3540640 4425800 7081280 8851600 14162560 17703200 35406400 70812800