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975000972 = 223119377883
BaseRepresentation
bin111010000111010…
…101010110001100
32111221122011220010
4322013111112030
53444100012342
6240425353220
733106241301
oct7207252614
92457564803
10975000972
114603a9730
12232638810
13126cc656a
14936c10a8
155a8e429c
hex3a1d558c

975000972 has 48 divisors (see below), whose sum is σ = 2484784512. Its totient is φ = 295102080.

The previous prime is 975000959. The next prime is 975000973. The reversal of 975000972 is 279000579.

975000972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 975000972.

It is not an unprimeable number, because it can be changed into a prime (975000973) 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, 119743 + ... + 127625.

It is an arithmetic number, because the mean of its divisors is an integer number (51766344).

Almost surely, 2975000972 is an apocalyptic number.

It is an amenable number.

975000972 is an abundant number, since it is smaller than the sum of its proper divisors (1509783540).

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

975000972 is a wasteful number, since it uses less digits than its factorization.

975000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 975000972 is about 31225.0055564447. The cubic root of 975000972 is about 991.5965708553.

The spelling of 975000972 in words is "nine hundred seventy-five million, nine hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 937 1874 2811 3748 5622 7883 10307 11244 15766 20614 23649 30921 31532 41228 47298 61842 86713 94596 123684 173426 260139 346852 520278 1040556 7386371 14772742 22159113 29545484 44318226 81250081 88636452 162500162 243750243 325000324 487500486 975000972