Search a number
-
+
77867232 = 2536113297
BaseRepresentation
bin1001010010000…
…10100011100000
312102112001202120
410221002203200
5124413222412
611420544240
71633601112
oct451024340
9172461676
1077867232
113aa54893
12220b2080
13131946b1
14a4ad3b2
156c81b8c
hex4a428e0

77867232 has 48 divisors (see below), whose sum is σ = 207767952. Its totient is φ = 25528320.

The previous prime is 77867221. The next prime is 77867267. The reversal of 77867232 is 23276877.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 793 + ... + 12504.

It is an arithmetic number, because the mean of its divisors is an integer number (4328499).

Almost surely, 277867232 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 77867232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103883976).

77867232 is an abundant number, since it is smaller than the sum of its proper divisors (129900720).

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

77867232 is a wasteful number, since it uses less digits than its factorization.

77867232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13363 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 77867232 is about 8824.2411571761. The cubic root of 77867232 is about 427.0233064116.

The spelling of 77867232 in words is "seventy-seven million, eight hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 13297 26594 39891 53188 79782 106376 159564 212752 319128 425504 638256 811117 1276512 1622234 2433351 3244468 4866702 6488936 9733404 12977872 19466808 25955744 38933616 77867232