Search a number
-
+
74445864 = 23361211241
BaseRepresentation
bin1000110111111…
…11010000101000
312012002020112020
410123333100220
5123024231424
611215344440
71562531223
oct433772050
9165066466
1074445864
1139028309
1220b22120
131256730c
149c5c5ba
156808079
hex46ff428

74445864 has 64 divisors (see below), whose sum is σ = 190850880. Its totient is φ = 24192000.

The previous prime is 74445863. The next prime is 74445881. The reversal of 74445864 is 46854447.

It is not an unprimeable number, because it can be changed into a prime (74445863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308784 + ... + 309024.

It is an arithmetic number, because the mean of its divisors is an integer number (2982045).

Almost surely, 274445864 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 74445864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95425440).

74445864 is an abundant number, since it is smaller than the sum of its proper divisors (116405016).

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

74445864 is a wasteful number, since it uses less digits than its factorization.

74445864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 74445864 is about 8628.2016666279. The cubic root of 74445864 is about 420.6751499427.

The spelling of 74445864 in words is "seventy-four million, four hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 211 241 244 366 422 482 488 633 723 732 844 964 1266 1446 1464 1688 1928 2532 2892 5064 5784 12871 14701 25742 29402 38613 44103 50851 51484 58804 77226 88206 101702 102968 117608 152553 154452 176412 203404 305106 308904 352824 406808 610212 1220424 3101911 6203822 9305733 12407644 18611466 24815288 37222932 74445864