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75248680 = 23513144709
BaseRepresentation
bin1000111110000…
…11010000101000
312020121000210011
410133003100220
5123230424210
611244501304
71602413623
oct437032050
9166530704
1075248680
11395264a1
122124a834
1312788860
149dcadba
156915d8a
hex47c3428

75248680 has 32 divisors (see below), whose sum is σ = 182334600. Its totient is φ = 27783936.

The previous prime is 75248671. The next prime is 75248729. The reversal of 75248680 is 8684257.

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 47306884 = 5286^2 + 6878^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71835 + ... + 72874.

Almost surely, 275248680 is an apocalyptic number.

It is an amenable number.

75248680 is an abundant number, since it is smaller than the sum of its proper divisors (107085920).

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

75248680 is a wasteful number, since it uses less digits than its factorization.

75248680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144733 (or 144729 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 75248680 is about 8674.5997025799. The cubic root of 75248680 is about 422.1819180775.

The spelling of 75248680 in words is "seventy-five million, two hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 144709 289418 578836 723545 1157672 1447090 1881217 2894180 3762434 5788360 7524868 9406085 15049736 18812170 37624340 75248680