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78505252 = 22721723561
BaseRepresentation
bin1001010110111…
…10010100100100
312110201110221221
410223132110210
5130044132002
611442350124
71642166200
oct453362444
9173643857
1078505252
1140350181
122235b344
1313358c17
14a5d7b00
156d5ac37
hex4ade524

78505252 has 36 divisors (see below), whose sum is σ = 169222284. Its totient is φ = 31664640.

The previous prime is 78505249. The next prime is 78505267. The reversal of 78505252 is 25250587.

It can be written as a sum of positive squares in 2 ways, for example, as 38638656 + 39866596 = 6216^2 + 6314^2 .

It is a hoax number, since the sum of its digits (34) 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 (34).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8449 + ... + 15112.

It is an arithmetic number, because the mean of its divisors is an integer number (4700619).

Almost surely, 278505252 is an apocalyptic number.

It is an amenable number.

78505252 is an abundant number, since it is smaller than the sum of its proper divisors (90717032).

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

78505252 is a wasteful number, since it uses less digits than its factorization.

78505252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23596 (or 23587 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The square root of 78505252 is about 8860.3189558842. The cubic root of 78505252 is about 428.1864343402.

The spelling of 78505252 in words is "seventy-eight million, five hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 23561 47122 94244 164927 329854 400537 659708 801074 1154489 1602148 2308978 2803759 4617956 5607518 11215036 19626313 39252626 78505252