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74284960 = 255464281
BaseRepresentation
bin1000110110101…
…11111110100000
312011210001210211
410123113332200
5123004104320
611212103504
71561261141
oct433277640
9164701724
1074284960
1138a28432
1220a64b94
131250bcc9
149c19ac8
1567c555a
hex46d7fa0

74284960 has 24 divisors (see below), whose sum is σ = 175498596. Its totient is φ = 29713920.

The previous prime is 74284933. The next prime is 74284981. The reversal of 74284960 is 6948247.

It can be written as a sum of positive squares in 2 ways, for example, as 63552784 + 10732176 = 7972^2 + 3276^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231981 + ... + 232300.

Almost surely, 274284960 is an apocalyptic number.

It is an amenable number.

74284960 is an abundant number, since it is smaller than the sum of its proper divisors (101213636).

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

74284960 is a wasteful number, since it uses less digits than its factorization.

74284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464296 (or 464288 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 74284960 is about 8618.8723160284. The cubic root of 74284960 is about 420.3718551031.

The spelling of 74284960 in words is "seventy-four million, two hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 464281 928562 1857124 2321405 3714248 4642810 7428496 9285620 14856992 18571240 37142480 74284960