Search a number
-
+
77969480 = 23517114661
BaseRepresentation
bin1001010010110…
…11100001001000
312102201021000112
410221123201020
5124430010410
611423053452
71634505161
oct451334110
9172637015
1077969480
1140014696
1222141288
13131cc0b4
14a4d8768
156ca2105
hex4a5b848

77969480 has 32 divisors (see below), whose sum is σ = 185752440. Its totient is φ = 29352960.

The previous prime is 77969477. The next prime is 77969561. The reversal of 77969480 is 8496977.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67996516 + 9972964 = 8246^2 + 3158^2 .

It is a super-2 number, since 2×779694802 = 12158479622940800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56651 + ... + 58010.

Almost surely, 277969480 is an apocalyptic number.

It is an amenable number.

77969480 is an abundant number, since it is smaller than the sum of its proper divisors (107782960).

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

77969480 is a wasteful number, since it uses less digits than its factorization.

77969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114689 (or 114685 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 77969480 is about 8830.0328425210. The cubic root of 77969480 is about 427.2101337448.

The spelling of 77969480 in words is "seventy-seven million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 114661 229322 458644 573305 917288 1146610 1949237 2293220 3898474 4586440 7796948 9746185 15593896 19492370 38984740 77969480