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972432041 = 7592698753
BaseRepresentation
bin111001111101100…
…010001010101001
32111202210122222112
4321331202022221
53442420311131
6240254332105
733045351560
oct7175421251
92452718875
10972432041
11459a04649
122317ba035
13126607199
1493212bd7
155a58802b
hex39f622a9

972432041 has 16 divisors (see below), whose sum is σ = 1134518400. Its totient is φ = 816246528.

The previous prime is 972432023. The next prime is 972432059. The reversal of 972432041 is 140234279.

It is an interprime number because it is at equal distance from previous prime (972432023) and next prime (972432059).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-972432041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972431989 and 972432007.

It is not an unprimeable number, because it can be changed into a prime (972432061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106721 + ... + 115473.

It is an arithmetic number, because the mean of its divisors is an integer number (70907400).

Almost surely, 2972432041 is an apocalyptic number.

It is an amenable number.

972432041 is a deficient number, since it is larger than the sum of its proper divisors (162086359).

972432041 is a wasteful number, since it uses less digits than its factorization.

972432041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 972432041 is about 31183.8426272325. The cubic root of 972432041 is about 990.7249191786.

The spelling of 972432041 in words is "nine hundred seventy-two million, four hundred thirty-two thousand, forty-one".

Divisors: 1 7 59 269 413 1883 8753 15871 61271 111097 516427 2354557 3614989 16481899 138918863 972432041