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952446138 = 23767893803
BaseRepresentation
bin111000110001010…
…010110010111010
32110101012021110220
4320301102302322
53422311234023
6234302120510
732413441620
oct7061226272
92411167426
10952446138
114496a3976
12226b80136
1312242a2c7
14906cd510
155893b3e3
hex38c52cba

952446138 has 64 divisors (see below), whose sum is σ = 2234926080. Its totient is φ = 264984192.

The previous prime is 952446133. The next prime is 952446161. The reversal of 952446138 is 831644259.

952446138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9524461382 = 1814307291582230088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 952446138.

It is not an unprimeable number, because it can be changed into a prime (952446133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248545 + ... + 252347.

It is an arithmetic number, because the mean of its divisors is an integer number (34920720).

Almost surely, 2952446138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952446138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117463040).

952446138 is an abundant number, since it is smaller than the sum of its proper divisors (1282479942).

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

952446138 is a wasteful number, since it uses less digits than its factorization.

952446138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971.

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

The square root of 952446138 is about 30861.7261020831. The cubic root of 952446138 is about 983.8905932131.

The spelling of 952446138 in words is "nine hundred fifty-two million, four hundred forty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 67 89 134 178 201 267 402 469 534 623 938 1246 1407 1869 2814 3738 3803 5963 7606 11409 11926 17889 22818 26621 35778 41741 53242 79863 83482 125223 159726 250446 254801 338467 509602 676934 764403 1015401 1528806 1783607 2030802 2369269 3567214 4738538 5350821 7107807 10701642 14215614 22677289 45354578 68031867 136063734 158741023 317482046 476223069 952446138