Search a number
-
+
74471072 = 2513296173
BaseRepresentation
bin1000111000001…
…01011010100000
312012010112002212
410130011122200
5123031033242
611220101252
71562664554
oct434053240
9165115085
1074471072
1139045245
1220b34828
1312575930
149c67864
156810782
hex47056a0

74471072 has 48 divisors (see below), whose sum is σ = 163364040. Its totient is φ = 33180672.

The previous prime is 74471053. The next prime is 74471081. The reversal of 74471072 is 27017447.

It can be written as a sum of positive squares in 4 ways, for example, as 27081616 + 47389456 = 5204^2 + 6884^2 .

It is a super-3 number, since 3×744710723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8978 + ... + 15150.

Almost surely, 274471072 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 74471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81682020).

74471072 is an abundant number, since it is smaller than the sum of its proper divisors (88892968).

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

74471072 is a wasteful number, since it uses less digits than its factorization.

74471072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The square root of 74471072 is about 8629.6623340661. The cubic root of 74471072 is about 420.7226259739.

The spelling of 74471072 in words is "seventy-four million, four hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 6032 6173 12064 12346 24692 49384 80249 98768 160498 179017 197536 320996 358034 641992 716068 1283984 1432136 2327221 2567968 2864272 4654442 5728544 9308884 18617768 37235536 74471072