Search a number
-
+
74547564 = 223713193593
BaseRepresentation
bin1000111000110…
…00000101101100
312012021102000220
410130120011230
5123041010224
611221451340
71563433560
oct434300554
9165242026
1074547564
1139097763
1220b70b50
13125a16b0
149c876a0
156828279
hex471816c

74547564 has 96 divisors (see below), whose sum is σ = 225415680. Its totient is φ = 18620928.

The previous prime is 74547511. The next prime is 74547587. The reversal of 74547564 is 46574547.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18952 + ... + 22544.

It is an arithmetic number, because the mean of its divisors is an integer number (2348080).

Almost surely, 274547564 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 74547564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112707840).

74547564 is an abundant number, since it is smaller than the sum of its proper divisors (150868116).

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

74547564 is a wasteful number, since it uses less digits than its factorization.

74547564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3637 counting only the distinct ones).

The product of its digits is 470400, while the sum is 42.

The square root of 74547564 is about 8634.0931197202. The cubic root of 74547564 is about 420.8666232877.

The spelling of 74547564 in words is "seventy-four million, five hundred forty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 3593 5187 6916 7186 10374 10779 14372 20748 21558 25151 43116 46709 50302 68267 75453 93418 100604 136534 140127 150906 186836 204801 273068 280254 301812 326963 409602 477869 560508 653926 819204 887471 955738 980889 1307852 1433607 1774942 1911476 1961778 2662413 2867214 3549884 3923556 5324826 5734428 6212297 10649652 12424594 18636891 24849188 37273782 74547564