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74468000 = 255318617
BaseRepresentation
bin1000111000001…
…00101010100000
312012010100220002
410130010222200
5123030434000
611220035132
71562652605
oct434045240
9165110802
1074468000
1139042a02
1220b32aa8
1312574409
149c666ac
15680e8d5
hex4704aa0

74468000 has 48 divisors (see below), whose sum is σ = 182977704. Its totient is φ = 29785600.

The previous prime is 74467993. The next prime is 74468029. The reversal of 74468000 is 86447.

It can be written as a sum of positive squares in 4 ways, for example, as 44568976 + 29899024 = 6676^2 + 5468^2 .

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, 5309 + ... + 13308.

Almost surely, 274468000 is an apocalyptic number.

It is an amenable number.

74468000 is an abundant number, since it is smaller than the sum of its proper divisors (108509704).

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

74468000 is a wasteful number, since it uses less digits than its factorization.

74468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18642 (or 18624 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 74468000 is about 8629.4843414888. The cubic root of 74468000 is about 420.7168408297.

The spelling of 74468000 in words is "seventy-four million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 18617 37234 74468 93085 148936 186170 297872 372340 465425 595744 744680 930850 1489360 1861700 2327125 2978720 3723400 4654250 7446800 9308500 14893600 18617000 37234000 74468000