Search a number
-
+
74428608 = 2633710477
BaseRepresentation
bin1000110111110…
…11000011000000
312012001100212010
410123323003000
5123023203413
611215132520
71562430012
oct433730300
9165040763
1074428608
1139016351
1220b14140
131255c4c7
149c561b2
156802dc3
hex46fb0c0

74428608 has 56 divisors (see below), whose sum is σ = 202267312. Its totient is φ = 24136704.

The previous prime is 74428603. The next prime is 74428609. The reversal of 74428608 is 80682447.

It is not an unprimeable number, because it can be changed into a prime (74428603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866 + ... + 12342.

Almost surely, 274428608 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 74428608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101133656).

74428608 is an abundant number, since it is smaller than the sum of its proper divisors (127838704).

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

74428608 is a wasteful number, since it uses less digits than its factorization.

74428608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10529 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 74428608 is about 8627.2016320473. The cubic root of 74428608 is about 420.6426443028.

The spelling of 74428608 in words is "seventy-four million, four hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 10477 20954 31431 41908 62862 83816 125724 167632 251448 335264 387649 502896 670528 775298 1005792 1162947 1550596 2011584 2325894 3101192 4651788 6202384 9303576 12404768 18607152 24809536 37214304 74428608