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968884146 = 23337484927
BaseRepresentation
bin111001101111111…
…111111110110010
32111112010102012000
4321233333332302
53441013243041
6240050314430
733003244056
oct7157777662
92445112160
10968884146
11457a00aaa
12230588a16
13125964339
149296bc66
155a0d6bb6
hex39bfffb2

968884146 has 32 divisors (see below), whose sum is σ = 2211271680. Its totient is φ = 314232048.

The previous prime is 968884141. The next prime is 968884151. The reversal of 968884146 is 641488869.

It is an interprime number because it is at equal distance from previous prime (968884141) and next prime (968884151).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 968884092 and 968884101.

It is not an unprimeable number, because it can be changed into a prime (968884141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240466 + ... + 244461.

It is an arithmetic number, because the mean of its divisors is an integer number (69102240).

Almost surely, 2968884146 is an apocalyptic number.

968884146 is an abundant number, since it is smaller than the sum of its proper divisors (1242387534).

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

968884146 is a wasteful number, since it uses less digits than its factorization.

968884146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484975 (or 484969 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 968884146 is about 31126.9038935773. The cubic root of 968884146 is about 989.5185721683.

The spelling of 968884146 in words is "nine hundred sixty-eight million, eight hundred eighty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1998 484927 969854 1454781 2909562 4364343 8728686 13093029 17942299 26186058 35884598 53826897 107653794 161480691 322961382 484442073 968884146