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78159104 = 281092801
BaseRepresentation
bin1001010100010…
…01110100000000
312110001220010122
410222021310000
5130002042404
611431115412
71636225052
oct452116400
9173056118
1078159104
1140134101
1222212b68
13132674ba
14a5478d2
156cdd3be
hex4a89d00

78159104 has 36 divisors (see below), whose sum is σ = 157500420. Its totient is φ = 38707200.

The previous prime is 78159101. The next prime is 78159119. The reversal of 78159104 is 40195187.

It can be written as a sum of positive squares in 2 ways, for example, as 47334400 + 30824704 = 6880^2 + 5552^2 .

It is a super-2 number, since 2×781591042 = 12217691076165632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78159101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26504 + ... + 29304.

Almost surely, 278159104 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 78159104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78750210).

78159104 is an abundant number, since it is smaller than the sum of its proper divisors (79341316).

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

78159104 is a wasteful number, since it uses less digits than its factorization.

78159104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 35.

The square root of 78159104 is about 8840.7637679106. The cubic root of 78159104 is about 427.5561824409.

The spelling of 78159104 in words is "seventy-eight million, one hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 2801 3488 5602 6976 11204 13952 22408 27904 44816 89632 179264 305309 358528 610618 717056 1221236 2442472 4884944 9769888 19539776 39079552 78159104