Search a number
-
+
74768856 = 23317401457
BaseRepresentation
bin1000111010011…
…10000111011000
312012200122120220
410131032013120
5123120100411
611230320040
71565345001
oct435160730
9165618526
1074768856
1139228a48
1221059020
131264b336
149d041a8
15686db06
hex474e1d8

74768856 has 64 divisors (see below), whose sum is σ = 198845280. Its totient is φ = 23347200.

The previous prime is 74768843. The next prime is 74768867. The reversal of 74768856 is 65886747.

74768856 = 2162 + 2172 + ... + 6162.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 74768799 and 74768808.

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 15 ways as a sum of consecutive naturals, for example, 163380 + ... + 163836.

Almost surely, 274768856 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 74768856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99422640).

74768856 is an abundant number, since it is smaller than the sum of its proper divisors (124076424).

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

74768856 is a wasteful number, since it uses less digits than its factorization.

74768856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 74768856 is about 8646.8986347707. The cubic root of 74768856 is about 421.2826548252.

The spelling of 74768856 in words is "seventy-four million, seven hundred sixty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 401 408 457 802 914 1203 1371 1604 1828 2406 2742 3208 3656 4812 5484 6817 7769 9624 10968 13634 15538 20451 23307 27268 31076 40902 46614 54536 62152 81804 93228 163608 183257 186456 366514 549771 733028 1099542 1466056 2199084 3115369 4398168 6230738 9346107 12461476 18692214 24922952 37384428 74768856