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78402828 = 22371098563
BaseRepresentation
bin1001010110001…
…01010100001100
312110112021110110
410223011110030
5130032342303
611440240020
71641261450
oct453052414
9173467413
1078402828
1140290229
1222310010
131332140a
14a5ac660
156d3a703
hex4ac550c

78402828 has 48 divisors (see below), whose sum is σ = 211016960. Its totient is φ = 22192704.

The previous prime is 78402823. The next prime is 78402851. The reversal of 78402828 is 82820487.

It is a super-2 number, since 2×784028282 = 12294006876795168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78402823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4875 + ... + 13437.

Almost surely, 278402828 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 78402828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105508480).

78402828 is an abundant number, since it is smaller than the sum of its proper divisors (132614132).

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

78402828 is a wasteful number, since it uses less digits than its factorization.

78402828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8686 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 78402828 is about 8854.5371420532. The cubic root of 78402828 is about 428.0001382944. Note that the first 3 decimals are identical.

The spelling of 78402828 in words is "seventy-eight million, four hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 109 218 327 436 654 763 1308 1526 2289 3052 4578 8563 9156 17126 25689 34252 51378 59941 102756 119882 179823 239764 359646 719292 933367 1866734 2800101 3733468 5600202 6533569 11200404 13067138 19600707 26134276 39201414 78402828