Search a number
-
+
78522336 = 2532475801
BaseRepresentation
bin1001010111000…
…10011111100000
312110202100101200
410223202133200
5130100203321
611443001200
71642300044
oct453423740
9173670350
1078522336
1140361aa2
1222369200
1313363929
14a600024
156d60d26
hex4ae27e0

78522336 has 72 divisors (see below), whose sum is σ = 228088224. Its totient is φ = 25612800.

The previous prime is 78522329. The next prime is 78522361. The reversal of 78522336 is 63322587.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78522336.

It is a congruent number.

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, 10636 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (3167892).

Almost surely, 278522336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78522336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114044112).

78522336 is an abundant number, since it is smaller than the sum of its proper divisors (149565888).

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

78522336 is a wasteful number, since it uses less digits than its factorization.

78522336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5853 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 78522336 is about 8861.2829770863. The cubic root of 78522336 is about 428.2174921625.

The spelling of 78522336 in words is "seventy-eight million, five hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 5801 6768 11602 13536 17403 23204 34806 46408 52209 69612 92816 104418 139224 185632 208836 272647 278448 417672 545294 556896 817941 835344 1090588 1635882 1670688 2181176 2453823 3271764 4362352 4907646 6543528 8724704 9815292 13087056 19630584 26174112 39261168 78522336