Search a number
-
+
78964146 = 2341812693
BaseRepresentation
bin1001011010011…
…10010110110010
312111120210110000
410231032112302
5130203323041
611500250430
71646120112
oct455162662
9174523400
1078964146
1140633a28
1222540a16
1313489a61
14a6b7042
156debbb6
hex4b4e5b2

78964146 has 40 divisors (see below), whose sum is σ = 177981804. Its totient is φ = 26166240.

The previous prime is 78964139. The next prime is 78964153. The reversal of 78964146 is 64146987.

It is an interprime number because it is at equal distance from previous prime (78964139) and next prime (78964153).

It can be written as a sum of positive squares in 2 ways, for example, as 67815225 + 11148921 = 8235^2 + 3339^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27976 + ... + 30668.

Almost surely, 278964146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78964146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88990902).

78964146 is an abundant number, since it is smaller than the sum of its proper divisors (99017658).

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

78964146 is a wasteful number, since it uses less digits than its factorization.

78964146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2879 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 78964146 is about 8886.1772433370. The cubic root of 78964146 is about 429.0191198872.

The spelling of 78964146 in words is "seventy-eight million, nine hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 362 543 1086 1629 2693 3258 4887 5386 8079 9774 14661 16158 24237 29322 48474 72711 145422 218133 436266 487433 974866 1462299 2924598 4386897 8773794 13160691 26321382 39482073 78964146