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78427404 = 223211732713
BaseRepresentation
bin1001010110010…
…11010100001100
312110120112011200
410223023110030
5130034134104
611440545500
71641423216
oct453132414
9173515150
1078427404
11402a7740
1222322290
131332c663
14a5b75b6
156d42b39
hex4acb50c

78427404 has 72 divisors (see below), whose sum is σ = 219312912. Its totient is φ = 23431680.

The previous prime is 78427403. The next prime is 78427417. The reversal of 78427404 is 40472487.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78427403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27552 + ... + 30264.

Almost surely, 278427404 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 78427404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109656456).

78427404 is an abundant number, since it is smaller than the sum of its proper divisors (140885508).

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

78427404 is a wasteful number, since it uses less digits than its factorization.

78427404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 78427404 is about 8855.9247964287. The cubic root of 78427404 is about 428.0448536566.

The spelling of 78427404 in words is "seventy-eight million, four hundred twenty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 2713 3212 4818 5426 7227 8139 9636 10852 14454 16278 24417 28908 29843 32556 48834 59686 89529 97668 119372 179058 198049 268587 358116 396098 537174 594147 792196 1074348 1188294 1782441 2178539 2376588 3564882 4357078 6535617 7129764 8714156 13071234 19606851 26142468 39213702 78427404