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168952968 = 23324749927
BaseRepresentation
bin10100001001000…
…00010010001000
3102202220200220100
422010200102020
5321222443333
624433125400
74121035152
oct1204402210
9382820810
10168952968
1187407958
12486b9860
1329006892
141861dad2
15ec75213
hexa120488

168952968 has 48 divisors (see below), whose sum is σ = 467326080. Its totient is φ = 55118304.

The previous prime is 168952957. The next prime is 168952969. The reversal of 168952968 is 869259861.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (168952969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21580 + ... + 28347.

It is an arithmetic number, because the mean of its divisors is an integer number (9735960).

Almost surely, 2168952968 is an apocalyptic number.

168952968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

168952968 is an abundant number, since it is smaller than the sum of its proper divisors (298373112).

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

168952968 is a wasteful number, since it uses less digits than its factorization.

168952968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49986 (or 49979 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 168952968 is about 12998.1909510516. The cubic root of 168952968 is about 552.8261887717.

The spelling of 168952968 in words is "one hundred sixty-eight million, nine hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 49927 99854 149781 199708 299562 399416 449343 599124 898686 1198248 1797372 2346569 3594744 4693138 7039707 9386276 14079414 18772552 21119121 28158828 42238242 56317656 84476484 168952968