Search a number
-
+
73376976 = 2431528687
BaseRepresentation
bin1000101111110…
…10010011010000
312010001221021210
410113322103100
5122241030401
611140420120
71550460021
oct427722320
9163057253
1073376976
1138468232
12206a7640
131228193a
149a60c48
1566964d6
hex45fa4d0

73376976 has 20 divisors (see below), whose sum is σ = 189557312. Its totient is φ = 24458976.

The previous prime is 73376959. The next prime is 73376977. The reversal of 73376976 is 67967337.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1528687 = 73376976 / (7 + 3 + 3 + 7 + 6 + 9 + 7 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73376977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764296 + ... + 764391.

Almost surely, 273376976 is an apocalyptic number.

It is an amenable number.

73376976 is an abundant number, since it is smaller than the sum of its proper divisors (116180336).

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

73376976 is a wasteful number, since it uses less digits than its factorization.

73376976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528698 (or 1528692 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 48.

The square root of 73376976 is about 8566.0361895103. The cubic root of 73376976 is about 418.6520960395.

The spelling of 73376976 in words is "seventy-three million, three hundred seventy-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1528687 3057374 4586061 6114748 9172122 12229496 18344244 24458992 36688488 73376976