Search a number
-
+
952678980 = 22325112173183
BaseRepresentation
bin111000110010001…
…011101001000100
32110101122002212200
4320302023221010
53422341211410
6234311114500
732415431511
oct7062135104
92411562780
10952678980
11449842900
12227072a30
131224ac296
1490750308
15589853c0
hex38c8ba44

952678980 has 432 divisors, whose sum is σ = 3513549312. Its totient is φ = 207820800.

The previous prime is 952678967. The next prime is 952679027. The reversal of 952678980 is 89876259.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11478019 + ... + 11478101.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2952678980 is an apocalyptic number.

952678980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952678980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756774656).

952678980 is an abundant number, since it is smaller than the sum of its proper divisors (2560870332).

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

952678980 is a wasteful number, since it uses less digits than its factorization.

952678980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 952678980 is about 30865.4982140253. The cubic root of 952678980 is about 983.9707630615.

The spelling of 952678980 in words is "nine hundred fifty-two million, six hundred seventy-eight thousand, nine hundred eighty".