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78816940 = 22519211983
BaseRepresentation
bin1001011001010…
…10011010101100
312111022022111221
410230222122230
5130134120230
611453153124
71644634666
oct454523254
9174268457
1078816940
1140543374
122248b7a4
1313437a57
14a679536
156dbd27a
hex4b2a6ac

78816940 has 48 divisors (see below), whose sum is σ = 175230720. Its totient is φ = 29695680.

The previous prime is 78816931. The next prime is 78816971. The reversal of 78816940 is 4961887.

It is a super-2 number, since 2×788169402 = 12424220061927200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79689 + ... + 80671.

It is an arithmetic number, because the mean of its divisors is an integer number (3650640).

Almost surely, 278816940 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 78816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87615360).

78816940 is an abundant number, since it is smaller than the sum of its proper divisors (96413780).

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

78816940 is a wasteful number, since it uses less digits than its factorization.

78816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 78816940 is about 8877.8905152069. The cubic root of 78816940 is about 428.7523596897.

The spelling of 78816940 in words is "seventy-eight million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 211 380 422 844 983 1055 1966 2110 3932 4009 4220 4915 8018 9830 16036 18677 19660 20045 37354 40090 74708 80180 93385 186770 207413 373540 414826 829652 1037065 2074130 3940847 4148260 7881694 15763388 19704235 39408470 78816940