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78288816 = 2431985843
BaseRepresentation
bin1001010101010…
…01011110110000
312110022111001210
410222221132300
5130020220231
611434000120
71640305164
oct452513660
9173274053
1078288816
1140212601
1222276040
13132b1558
14a57cca4
156d16a46
hex4aa97b0

78288816 has 40 divisors (see below), whose sum is σ = 212893120. Its totient is φ = 24722496.

The previous prime is 78288809. The next prime is 78288829. The reversal of 78288816 is 61888287.

It is a super-2 number, since 2×782888162 = 12258277421363712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 42010 + ... + 43833.

It is an arithmetic number, because the mean of its divisors is an integer number (5322328).

Almost surely, 278288816 is an apocalyptic number.

78288816 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

78288816 is an abundant number, since it is smaller than the sum of its proper divisors (134604304).

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

78288816 is a wasteful number, since it uses less digits than its factorization.

78288816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85873 (or 85867 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 78288816 is about 8848.0967444982. The cubic root of 78288816 is about 427.7925742500.

It can be divided in two parts, 782 and 88816, that added together give a palindrome (89598).

The spelling of 78288816 in words is "seventy-eight million, two hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 85843 171686 257529 343372 515058 686744 1030116 1373488 1631017 2060232 3262034 4120464 4893051 6524068 9786102 13048136 19572204 26096272 39144408 78288816