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78922125 = 325331273
BaseRepresentation
bin1001011010001…
…00000110001101
312111111122210200
410231010012031
5130201002000
611455324113
71645553442
oct455040615
9174448720
1078922125
11406053a7
1222520639
13134738a9
14a6a59c9
156dde500
hex4b4418d

78922125 has 72 divisors (see below), whose sum is σ = 149021496. Its totient is φ = 40176000.

The previous prime is 78922111. The next prime is 78922163. The reversal of 78922125 is 52122987.

It can be written as a sum of positive squares in 4 ways, for example, as 2499561 + 76422564 = 1581^2 + 8742^2 .

It is not a de Polignac number, because 78922125 - 26 = 78922061 is a prime.

Its product of digits (20160) is a multiple of the sum of its prime divisors (112).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 78922125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1081089 + ... + 1081161.

It is an arithmetic number, because the mean of its divisors is an integer number (2069743).

Almost surely, 278922125 is an apocalyptic number.

78922125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78922125 is a deficient number, since it is larger than the sum of its proper divisors (70099371).

78922125 is a wasteful number, since it uses less digits than its factorization.

78922125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 78922125 is about 8883.8125261624. The cubic root of 78922125 is about 428.9430051265.

The spelling of 78922125 in words is "seventy-eight million, nine hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 73 75 93 125 155 219 225 279 365 375 465 657 775 961 1095 1125 1395 1825 2263 2325 2883 3285 3875 4805 5475 6789 6975 8649 9125 11315 11625 14415 16425 20367 24025 27375 33945 34875 43245 56575 70153 72075 82125 101835 120125 169725 210459 216225 282875 350765 360375 509175 631377 848625 1052295 1081125 1753825 2545875 3156885 5261475 8769125 15784425 26307375 78922125