Search a number
-
+
78191136 = 253390499
BaseRepresentation
bin1001010100100…
…01101000100000
312110010112002000
410222101220200
5130004104021
611431524000
71636420332
oct452215040
9173115060
1078191136
1140156181
1222229600
1313278c5a
14a555452
156ce7b26
hex4a91a20

78191136 has 48 divisors (see below), whose sum is σ = 228060000. Its totient is φ = 26063424.

The previous prime is 78191131. The next prime is 78191167. The reversal of 78191136 is 63119187.

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

It is a super-2 number, since 2×781911362 = 12227707497940992, which contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 78191136.

It is not an unprimeable number, because it can be changed into a prime (78191131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44386 + ... + 46113.

It is an arithmetic number, because the mean of its divisors is an integer number (4751250).

Almost surely, 278191136 is an apocalyptic number.

It is an amenable number.

78191136 is an abundant number, since it is smaller than the sum of its proper divisors (149868864).

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

78191136 is a wasteful number, since it uses less digits than its factorization.

78191136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90518 (or 90504 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 78191136 is about 8842.5751905200. The cubic root of 78191136 is about 427.6145830128.

The spelling of 78191136 in words is "seventy-eight million, one hundred ninety-one thousand, one hundred thirty-six".

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 90499 180998 271497 361996 542994 723992 814491 1085988 1447984 1628982 2171976 2443473 2895968 3257964 4343952 4886946 6515928 8687904 9773892 13031856 19547784 26063712 39095568 78191136