Search a number
-
+
78192768 = 273203627
BaseRepresentation
bin1001010100100…
…10000010000000
312110010121022110
410222102002000
5130004132033
611431535320
71636425153
oct452220200
9173117273
1078192768
1140157425
122222a540
1313279914
14a555c9a
156ce8363
hex4a92080

78192768 has 32 divisors (see below), whose sum is σ = 207700560. Its totient is φ = 26064128.

The previous prime is 78192743. The next prime is 78192811. The reversal of 78192768 is 86729187.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×781927682 = 12228217935003648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101430 + ... + 102197.

Almost surely, 278192768 is an apocalyptic number.

It is an amenable number.

78192768 is an abundant number, since it is smaller than the sum of its proper divisors (129507792).

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

78192768 is a wasteful number, since it uses less digits than its factorization.

78192768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203644 (or 203632 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 78192768 is about 8842.6674708484. The cubic root of 78192768 is about 427.6175580395.

The spelling of 78192768 in words is "seventy-eight million, one hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 203627 407254 610881 814508 1221762 1629016 2443524 3258032 4887048 6516064 9774096 13032128 19548192 26064256 39096384 78192768