Search a number
-
+
76604832 = 253388663
BaseRepresentation
bin1001001000011…
…10010110100000
312100010221002000
410210032112200
5124102323312
611333524000
71620062463
oct444162640
9170127060
1076604832
113a272387
12217a3600
1312b41c05
14a2612da
156ad2adc
hex490e5a0

76604832 has 48 divisors (see below), whose sum is σ = 223433280. Its totient is φ = 25534656.

The previous prime is 76604821. The next prime is 76604849. The reversal of 76604832 is 23840667.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43468 + ... + 45195.

It is an arithmetic number, because the mean of its divisors is an integer number (4654860).

Almost surely, 276604832 is an apocalyptic number.

76604832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76604832 is an abundant number, since it is smaller than the sum of its proper divisors (146828448).

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

76604832 is a wasteful number, since it uses less digits than its factorization.

76604832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88682 (or 88668 counting only the distinct ones).

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

The square root of 76604832 is about 8752.4186371540. The cubic root of 76604832 is about 424.7030580922.

The spelling of 76604832 in words is "seventy-six million, six hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 88663 177326 265989 354652 531978 709304 797967 1063956 1418608 1595934 2127912 2393901 2837216 3191868 4255824 4787802 6383736 8511648 9575604 12767472 19151208 25534944 38302416 76604832