Search a number
-
+
74505726 = 232191311663
BaseRepresentation
bin1000111000011…
…01110111111110
312012012021122100
410130031313332
5123033140401
611220525530
71563200601
oct434156776
9165167570
1074505726
1139069289
1220b508a6
1312588639
149c76338
15681ab86
hex470ddfe

74505726 has 48 divisors (see below), whose sum is σ = 171325440. Its totient is φ = 23334480.

The previous prime is 74505719. The next prime is 74505749. The reversal of 74505726 is 62750547.

It is a super-2 number, since 2×745057262 = 11102206413574152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43971 + ... + 45633.

It is an arithmetic number, because the mean of its divisors is an integer number (3569280).

Almost surely, 274505726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74505726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85662720).

74505726 is an abundant number, since it is smaller than the sum of its proper divisors (96819714).

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

74505726 is a wasteful number, since it uses less digits than its factorization.

74505726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 74505726 is about 8631.6699427168. The cubic root of 74505726 is about 420.7878748488.

The spelling of 74505726 in words is "seventy-four million, five hundred five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 131 171 262 342 393 786 1179 1663 2358 2489 3326 4978 4989 7467 9978 14934 14967 22401 29934 31597 44802 63194 94791 189582 217853 284373 435706 568746 653559 1307118 1960677 3921354 4139207 8278414 12417621 24835242 37252863 74505726