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972320427 = 32138310431
BaseRepresentation
bin111001111101000…
…110111010101011
32111202120222212200
4321331012322223
53442403223202
6240252111243
733044405301
oct7175067253
92452528780
10972320427
11459938801
12231765523
13126598440
14931c4271
155a564e1c
hex39f46eab

972320427 has 12 divisors (see below), whose sum is σ = 1512498624. Its totient is φ = 598350960.

The previous prime is 972320411. The next prime is 972320441. The reversal of 972320427 is 724023279.

It is not a de Polignac number, because 972320427 - 24 = 972320411 is a prime.

It is a super-2 number, since 2×9723204272 = 1890814025522924658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 972320391 and 972320400.

It is not an unprimeable number, because it can be changed into a prime (972320407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4155099 + ... + 4155332.

It is an arithmetic number, because the mean of its divisors is an integer number (126041552).

Almost surely, 2972320427 is an apocalyptic number.

972320427 is a deficient number, since it is larger than the sum of its proper divisors (540178197).

972320427 is a wasteful number, since it uses less digits than its factorization.

972320427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310450 (or 8310447 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 972320427 is about 31182.0529632030. The cubic root of 972320427 is about 990.6870131871.

The spelling of 972320427 in words is "nine hundred seventy-two million, three hundred twenty thousand, four hundred twenty-seven".

Divisors: 1 3 9 13 39 117 8310431 24931293 74793879 108035603 324106809 972320427