Search a number
-
+
80642376 = 23321497517
BaseRepresentation
bin1001100111010…
…00000101001000
312121202001112200
410303220011020
5131121024001
612000240200
71666306653
oct463500510
9177661480
1080642376
114157a8a1
1223010060
13139268a9
14a9d289a
15712e086
hex4ce8148

80642376 has 48 divisors (see below), whose sum is σ = 219901500. Its totient is φ = 26696832.

The previous prime is 80642357. The next prime is 80642381. The reversal of 80642376 is 67324608.

80642376 is a `hidden beast` number, since 8 + 0 + 642 + 3 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80460900 + 181476 = 8970^2 + 426^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 80642376.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6970 + ... + 14486.

Almost surely, 280642376 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 80642376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109950750).

80642376 is an abundant number, since it is smaller than the sum of its proper divisors (139259124).

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

80642376 is a wasteful number, since it uses less digits than its factorization.

80642376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7671 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 80642376 is about 8980.1100215977. The cubic root of 80642376 is about 432.0371624409.

It can be divided in two parts, 80642 and 376, that added together give a palindrome (81018).

The spelling of 80642376 in words is "eighty million, six hundred forty-two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 7517 10728 15034 22551 30068 45102 60136 67653 90204 135306 180408 270612 541224 1120033 2240066 3360099 4480132 6720198 8960264 10080297 13440396 20160594 26880792 40321188 80642376