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973389952 = 2715748437
BaseRepresentation
bin111010000001001…
…100000010000000
32111211121022222201
4322001030002000
53443141434302
6240331042544
733056451403
oct7201140200
92454538881
10973389952
1145a4a9307
12231ba0454
131268811b2
14933c1d3a
155a6c6c87
hex3a04c080

973389952 has 32 divisors (see below), whose sum is σ = 1951567020. Its totient is φ = 483585024.

The previous prime is 973389929. The next prime is 973389953. The reversal of 973389952 is 259983379.

It can be written as a sum of positive squares in 2 ways, for example, as 950118976 + 23270976 = 30824^2 + 4824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 973389893 and 973389902.

It is not an unprimeable number, because it can be changed into a prime (973389953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4123 + ... + 44314.

Almost surely, 2973389952 is an apocalyptic number.

It is an amenable number.

973389952 is an abundant number, since it is smaller than the sum of its proper divisors (978177068).

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

973389952 is a wasteful number, since it uses less digits than its factorization.

973389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48608 (or 48596 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 55.

The square root of 973389952 is about 31199.1979384086. The cubic root of 973389952 is about 991.0501226582.

The spelling of 973389952 in words is "nine hundred seventy-three million, three hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 1256 2512 5024 10048 20096 48437 96874 193748 387496 774992 1549984 3099968 6199936 7604609 15209218 30418436 60836872 121673744 243347488 486694976 973389952