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953142864 = 24331220663
BaseRepresentation
bin111000110011111…
…100111001010000
32110102111200012120
4320303330321100
53423001032424
6234325054240
732422403112
oct7063747120
92412450176
10953142864
1144a02a383
12227257380
1312261247b
14908313b2
1558a27a79
hex38cfce50

953142864 has 60 divisors (see below), whose sum is σ = 2544399648. Its totient is φ = 307450560.

The previous prime is 953142863. The next prime is 953142887. The reversal of 953142864 is 468241359.

953142864 is a Rhonda number in base 10.

Its product of digits (207360) is a multiple of the sum of its prime factors (20736).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953142863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35797 + ... + 56459.

Almost surely, 2953142864 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 953142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272199824).

953142864 is an abundant number, since it is smaller than the sum of its proper divisors (1591256784).

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

953142864 is a wasteful number, since it uses less digits than its factorization.

953142864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20736 (or 20699 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 953142864 is about 30873.0119036028. The cubic root of 953142864 is about 984.1304440725.

The spelling of 953142864 in words is "nine hundred fifty-three million, one hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 5766 7688 11532 15376 20663 23064 41326 46128 61989 82652 123978 165304 247956 330608 495912 640553 991824 1281106 1921659 2562212 3843318 5124424 7686636 10248848 15373272 19857143 30746544 39714286 59571429 79428572 119142858 158857144 238285716 317714288 476571432 953142864