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78361168 = 2419416287
BaseRepresentation
bin1001010101110…
…11001001010000
312110110011022111
410222323021100
5130030024133
611435315104
71641026134
oct452731120
9173404274
1078361168
11402619a6
12222aba94
1313308472
14a59b3c4
156d2d1cd
hex4abb250

78361168 has 40 divisors (see below), whose sum is σ = 163739520. Its totient is φ = 36207360.

The previous prime is 78361163. The next prime is 78361183. The reversal of 78361168 is 86116387.

It is a super-2 number, since 2×783611682 = 12280945300648448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78361168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78361163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9321 + ... + 15607.

It is an arithmetic number, because the mean of its divisors is an integer number (4093488).

Almost surely, 278361168 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 78361168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81869760).

78361168 is an abundant number, since it is smaller than the sum of its proper divisors (85378352).

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

78361168 is a wasteful number, since it uses less digits than its factorization.

78361168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6349 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 78361168 is about 8852.1843631953. The cubic root of 78361168 is about 427.9243177096.

The spelling of 78361168 in words is "seventy-eight million, three hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 328 656 779 1558 3116 6232 6287 12464 12574 25148 50296 100592 119453 238906 257767 477812 515534 955624 1031068 1911248 2062136 4124272 4897573 9795146 19590292 39180584 78361168