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78135975 = 3352115757
BaseRepresentation
bin1001010100001…
…00001010100111
312110000201102000
410222010022213
5130000322400
611430420343
71636100451
oct452041247
9173021360
1078135975
1140118795
12222016b3
1313259b08
14a53d2d1
156cd6600
hex4a842a7

78135975 has 24 divisors (see below), whose sum is σ = 143539920. Its totient is φ = 41672160.

The previous prime is 78135943. The next prime is 78135979. The reversal of 78135975 is 57953187.

It is not a de Polignac number, because 78135975 - 25 = 78135943 is a prime.

It is a super-2 number, since 2×781359752 = 12210461178401250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 78135975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78135979) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57204 + ... + 58553.

It is an arithmetic number, because the mean of its divisors is an integer number (5980830).

Almost surely, 278135975 is an apocalyptic number.

78135975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

78135975 is a deficient number, since it is larger than the sum of its proper divisors (65403945).

78135975 is a wasteful number, since it uses less digits than its factorization.

78135975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115776 (or 115765 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 78135975 is about 8839.4555827834. The cubic root of 78135975 is about 427.5140038503.

The spelling of 78135975 in words is "seventy-eight million, one hundred thirty-five thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 115757 347271 578785 1041813 1736355 2893925 3125439 5209065 8681775 15627195 26045325 78135975