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8972537 = 7437101
BaseRepresentation
bin100010001110…
…100011111001
3121212212000012
4202032203321
54244110122
6520151305
7136160000
oct42164371
917785005
108972537
115079222
123008535
131b21cc2
141297c37
15bc37e2
hex88e8f9

8972537 has 20 divisors (see below), whose sum is σ = 10856676. Its totient is φ = 7408800.

The previous prime is 8972501. The next prime is 8972567. The reversal of 8972537 is 7352798.

8972537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8357881 + 614656 = 2891^2 + 784^2 .

It is not a de Polignac number, because 8972537 - 26 = 8972473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8972494 and 8972503.

It is not an unprimeable number, because it can be changed into a prime (8972567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88787 + ... + 88887.

Almost surely, 28972537 is an apocalyptic number.

It is an amenable number.

8972537 is a deficient number, since it is larger than the sum of its proper divisors (1884139).

8972537 is an equidigital number, since it uses as much as digits as its factorization.

8972537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its digits is 105840, while the sum is 41.

The square root of 8972537 is about 2995.4193362533. The cubic root of 8972537 is about 207.7965913953.

The spelling of 8972537 in words is "eight million, nine hundred seventy-two thousand, five hundred thirty-seven".

Divisors: 1 7 37 49 101 259 343 707 1813 2401 3737 4949 12691 26159 34643 88837 183113 242501 1281791 8972537