[go: up one dir, main page]

Search a number
-
+
78131286 = 23217311821
BaseRepresentation
bin1001010100000…
…11000001010110
312110000110222100
410222003001112
5130000200121
611430342530
71636051002
oct452030126
9173013870
1078131286
1140115212
12221baa46
131325793c
14a53b702
156cd5026
hex4a83056

78131286 has 48 divisors (see below), whose sum is σ = 180037728. Its totient is φ = 24403200.

The previous prime is 78131267. The next prime is 78131323. The reversal of 78131286 is 68213187.

It is a super-2 number, since 2×781312862 = 12208995704027592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78131286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94756 + ... + 95576.

It is an arithmetic number, because the mean of its divisors is an integer number (3750786).

Almost surely, 278131286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78131286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90018864).

78131286 is an abundant number, since it is smaller than the sum of its proper divisors (101906442).

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

78131286 is a wasteful number, since it uses less digits than its factorization.

78131286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1154 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78131286 is about 8839.1903475375. The cubic root of 78131286 is about 427.5054518644.

Subtracting from 78131286 its sum of digits (36), we obtain a triangular number (78131250 = T12500).

The spelling of 78131286 in words is "seventy-eight million, one hundred thirty-one thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 311 622 821 933 1642 1866 2463 2799 4926 5287 5598 7389 10574 13957 14778 15861 27914 31722 41871 47583 83742 95166 125613 251226 255331 510662 765993 1531986 2297979 4340627 4595958 8681254 13021881 26043762 39065643 78131286