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75459940 = 22517221941
BaseRepresentation
bin1000111111101…
…10110101100100
312020222202120121
410133312311210
5123304204230
611253211324
71604253553
oct437666544
9166882517
1075459940
1139660196
1221330b44
1312830a6a
14a043d9a
15695877a
hex47f6d64

75459940 has 24 divisors (see below), whose sum is σ = 167788152. Its totient is φ = 28408320.

The previous prime is 75459929. The next prime is 75459947. The reversal of 75459940 is 4995457.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 33547264 = 6474^2 + 5792^2 .

It is not an unprimeable number, because it can be changed into a prime (75459947) 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, 110631 + ... + 111310.

It is an arithmetic number, because the mean of its divisors is an integer number (6991173).

Almost surely, 275459940 is an apocalyptic number.

It is an amenable number.

75459940 is an abundant number, since it is smaller than the sum of its proper divisors (92328212).

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

75459940 is a wasteful number, since it uses less digits than its factorization.

75459940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221967 (or 221965 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 75459940 is about 8686.7680986659. The cubic root of 75459940 is about 422.5766395756.

The spelling of 75459940 in words is "seventy-five million, four hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 221941 443882 887764 1109705 2219410 3772997 4438820 7545994 15091988 18864985 37729970 75459940