Search a number
-
+
74579968 = 217569
BaseRepresentation
bin1000111001000…
…00000000000000
312012100001111001
410130200000000
5123043024333
611222301344
71563630211
oct434400000
9165301431
1074579968
113910a041
1220b87854
13125b3378
149c95408
156832b7d
hex4720000

74579968 has 36 divisors (see below), whose sum is σ = 149421510. Its totient is φ = 37224448.

The previous prime is 74579951. The next prime is 74579971. The reversal of 74579968 is 86997547.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 3211264 = 8448^2 + 1792^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130788 + ... + 131356.

Almost surely, 274579968 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 74579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74710755).

74579968 is an abundant number, since it is smaller than the sum of its proper divisors (74841542).

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

74579968 is an frugal number, since it uses more digits than its factorization.

74579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 571 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 74579968 is about 8635.9694302377. The cubic root of 74579968 is about 420.9275945916.

The spelling of 74579968 in words is "seventy-four million, five hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 569 1024 1138 2048 2276 4096 4552 8192 9104 16384 18208 32768 36416 65536 72832 131072 145664 291328 582656 1165312 2330624 4661248 9322496 18644992 37289984 74579968