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950296968 = 233314929527
BaseRepresentation
bin111000101001000…
…110000110001000
32110020011002101000
4320221012012020
53421234000333
6234144055000
732356251045
oct7051060610
92406132330
10950296968
114484661a5
12226304460
13121b56cca
14902d01cc
1558664713
hex38a46188

950296968 has 64 divisors (see below), whose sum is σ = 2657520000. Its totient is φ = 314629056.

The previous prime is 950296961. The next prime is 950296999. The reversal of 950296968 is 869692059.

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

It is not an unprimeable number, because it can be changed into a prime (950296961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17421 + ... + 46947.

It is an arithmetic number, because the mean of its divisors is an integer number (41523750).

Almost surely, 2950296968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 950296968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328760000).

950296968 is an abundant number, since it is smaller than the sum of its proper divisors (1707223032).

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

950296968 is a wasteful number, since it uses less digits than its factorization.

950296968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29691 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 950296968 is about 30826.8870955210. The cubic root of 950296968 is about 983.1499946872.

The spelling of 950296968 in words is "nine hundred fifty million, two hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1788 2682 3576 4023 5364 8046 10728 16092 29527 32184 59054 88581 118108 177162 236216 265743 354324 531486 708648 797229 1062972 1594458 2125944 3188916 4399523 6377832 8799046 13198569 17598092 26397138 35196184 39595707 52794276 79191414 105588552 118787121 158382828 237574242 316765656 475148484 950296968