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8073972 = 223374759
BaseRepresentation
bin11110110011001011110100
3120012012102000
4132303023310
54031331342
6445015300
7125425164
oct36631364
916165360
108073972
114615105
122854530
131898cca
1411025a4
15a9744c
hex7b32f4

8073972 has 24 divisors (see below), whose sum is σ = 20932800. Its totient is φ = 2691288.

The previous prime is 8073959. The next prime is 8073979. The reversal of 8073972 is 2793708.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073979) 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, 37272 + ... + 37487.

It is an arithmetic number, because the mean of its divisors is an integer number (872200).

Almost surely, 28073972 is an apocalyptic number.

It is an amenable number.

8073972 is an abundant number, since it is smaller than the sum of its proper divisors (12858828).

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

8073972 is a wasteful number, since it uses less digits than its factorization.

8073972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74772 (or 74764 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8073972 is about 2841.4735613762. The cubic root of 8073972 is about 200.6145430832.

It can be divided in two parts, 8073 and 972, that added together give a triangular number (9045 = T134).

The spelling of 8073972 in words is "eight million, seventy-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 74759 149518 224277 299036 448554 672831 897108 1345662 2018493 2691324 4036986 8073972