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78395265 = 32513294621
BaseRepresentation
bin1001010110000…
…11011110000001
312110111220002100
410223003132001
5130032122030
611440141013
71641230424
oct453033601
9173456070
1078395265
1140285583
1222307769
131331ab40
14a5a99bb
156d38360
hex4ac3781

78395265 has 48 divisors (see below), whose sum is σ = 151416720. Its totient is φ = 37255680.

The previous prime is 78395231. The next prime is 78395269. The reversal of 78395265 is 56259387.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7683984 + 70711281 = 2772^2 + 8409^2 .

It is not a de Polignac number, because 78395265 - 27 = 78395137 is a prime.

It is a super-2 number, since 2×783952652 = 12291635148840450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 78395265.

It is not an unprimeable number, because it can be changed into a prime (78395269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14655 + ... + 19275.

It is an arithmetic number, because the mean of its divisors is an integer number (3154515).

Almost surely, 278395265 is an apocalyptic number.

It is an amenable number.

78395265 is a deficient number, since it is larger than the sum of its proper divisors (73021455).

78395265 is a wasteful number, since it uses less digits than its factorization.

78395265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4671 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 78395265 is about 8854.1100625642. The cubic root of 78395265 is about 427.9863757418.

The spelling of 78395265 in words is "seventy-eight million, three hundred ninety-five thousand, two hundred sixty-five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 117 145 195 261 377 435 585 1131 1305 1885 3393 4621 5655 13863 16965 23105 41589 60073 69315 134009 180219 207945 300365 402027 540657 670045 901095 1206081 1742117 2010135 2703285 5226351 6030405 8710585 15679053 26131755 78395265