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968556500 = 22532966797
BaseRepresentation
bin111001101110101…
…111111111010100
32111111111202201222
4321232233333110
53440422302000
6240035305512
733000410612
oct7156577724
92444452658
10968556500
114577a791a
1223044b298
1312587b172
14928c46b2
155a06ea85
hex39baffd4

968556500 has 48 divisors (see below), whose sum is σ = 2188302480. Its totient is φ = 374057600.

The previous prime is 968556493. The next prime is 968556509. The reversal of 968556500 is 5655869.

It can be written as a sum of positive squares in 8 ways, for example, as 445885456 + 522671044 = 21116^2 + 22862^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968556509) 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, 18899 + ... + 47898.

It is an arithmetic number, because the mean of its divisors is an integer number (45589635).

Almost surely, 2968556500 is an apocalyptic number.

It is an amenable number.

968556500 is an abundant number, since it is smaller than the sum of its proper divisors (1219745980).

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

968556500 is a wasteful number, since it uses less digits than its factorization.

968556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66845 (or 66833 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The square root of 968556500 is about 31121.6403809311. The cubic root of 968556500 is about 989.4070182891.

The spelling of 968556500 in words is "nine hundred sixty-eight million, five hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 725 1450 2900 3625 7250 14500 66797 133594 267188 333985 667970 1335940 1669925 1937113 3339850 3874226 6679700 7748452 8349625 9685565 16699250 19371130 33398500 38742260 48427825 96855650 193711300 242139125 484278250 968556500