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8972496 = 2432134793
BaseRepresentation
bin100010001110…
…100011010000
3121212211221200
4202032203100
54244104441
6520151200
7136156611
oct42164320
917784850
108972496
115079195
123008500
131b21c90
141297c08
15bc37b6
hex88e8d0

8972496 has 60 divisors (see below), whose sum is σ = 27047748. Its totient is φ = 2760192.

The previous prime is 8972489. The next prime is 8972501. The reversal of 8972496 is 6942798.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 4410000 = 2136^2 + 2100^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 4268.

Almost surely, 28972496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523874).

8972496 is an abundant number, since it is smaller than the sum of its proper divisors (18075252).

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

8972496 is a wasteful number, since it uses less digits than its factorization.

8972496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820 (or 4811 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 8972496 is about 2995.4124924624. The cubic root of 8972496 is about 207.7962748860.

The spelling of 8972496 in words is "eight million, nine hundred seventy-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 4793 9586 14379 19172 28758 38344 43137 57516 62309 76688 86274 115032 124618 172548 186927 230064 249236 345096 373854 498472 560781 690192 747708 996944 1121562 1495416 2243124 2990832 4486248 8972496