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972704016 = 24326754889
BaseRepresentation
bin111001111110100…
…100100100010000
32111210022111001200
4321332210210100
53443003012031
6240304231200
733050563524
oct7176444420
92453274050
10972704016
1145a07aa19
1223190b500
131266a0c0b
1493283d84
155a5dd8e6
hex39fa4910

972704016 has 30 divisors (see below), whose sum is σ = 2722220670. Its totient is φ = 324234624.

The previous prime is 972703931. The next prime is 972704021. The reversal of 972704016 is 610407279.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 767068416 + 205635600 = 27696^2 + 14340^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3377301 + ... + 3377588.

It is an arithmetic number, because the mean of its divisors is an integer number (90740689).

Almost surely, 2972704016 is an apocalyptic number.

It is an amenable number.

972704016 is an abundant number, since it is smaller than the sum of its proper divisors (1749516654).

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

972704016 is a wasteful number, since it uses less digits than its factorization.

972704016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754903 (or 6754894 counting only the distinct ones).

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

The square root of 972704016 is about 31188.2031543980. The cubic root of 972704016 is about 990.8172743190.

The spelling of 972704016 in words is "nine hundred seventy-two million, seven hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6754889 13509778 20264667 27019556 40529334 54039112 60794001 81058668 108078224 121588002 162117336 243176004 324234672 486352008 972704016