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78334425 = 33521379113
BaseRepresentation
bin1001010101101…
…00100111011001
312110101210122000
410222310213121
5130023200200
611434551213
71640555151
oct452644731
9173353560
1078334425
11402438a4
1222298509
13132c9240
14a591761
156d25300
hex4ab49d9

78334425 has 96 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 37739520.

The previous prime is 78334393. The next prime is 78334441. The reversal of 78334425 is 52443387.

It is a happy number.

It is not a de Polignac number, because 78334425 - 25 = 78334393 is a prime.

It is a super-2 number, since 2×783344252 = 12272564280161250, which contains 22 as substring.

Its product of digits (80640) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 78334425.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 693169 + ... + 693281.

It is an arithmetic number, because the mean of its divisors is an integer number (1649200).

Almost surely, 278334425 is an apocalyptic number.

78334425 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

78334425 is an abundant number, since it is smaller than the sum of its proper divisors (79988775).

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

78334425 is a wasteful number, since it uses less digits than its factorization.

78334425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 78334425 is about 8850.6737031708. The cubic root of 78334425 is about 427.8756316812.

The spelling of 78334425 in words is "seventy-eight million, three hundred thirty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 79 113 117 135 195 225 237 325 339 351 395 565 585 675 711 975 1017 1027 1185 1469 1695 1755 1975 2133 2825 2925 3051 3081 3555 4407 5085 5135 5925 7345 8475 8775 8927 9243 10665 13221 15255 15405 17775 22035 25425 25675 26781 27729 36725 39663 44635 46215 53325 66105 76275 77025 80343 110175 116051 133905 138645 198315 223175 231075 241029 330525 348153 401715 580255 669525 693225 991575 1044459 1205145 1740765 2008575 2901275 3133377 5222295 6025725 8703825 15666885 26111475 78334425