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957118428 = 2232717317207
BaseRepresentation
bin111001000011000…
…111011111011100
32110200222122122200
4321003013133130
53430010242203
6234550211500
732501241510
oct7103073734
92420878580
10957118428
114512a5272
12228653b90
131233a4b86
1491188140
15590609a3
hex390c77dc

957118428 has 144 divisors (see below), whose sum is σ = 3022516224. Its totient is φ = 249039360.

The previous prime is 957118423. The next prime is 957118439. The reversal of 957118428 is 824811759.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957118423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129201 + ... + 136407.

It is an arithmetic number, because the mean of its divisors is an integer number (20989696).

Almost surely, 2957118428 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 957118428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511258112).

957118428 is an abundant number, since it is smaller than the sum of its proper divisors (2065397796).

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

957118428 is a wasteful number, since it uses less digits than its factorization.

957118428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 7267 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 957118428 is about 30937.3306540820. The cubic root of 957118428 is about 985.4968172340.

The spelling of 957118428 in words is "nine hundred fifty-seven million, one hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7207 7378 7812 9486 11067 14414 14756 18972 21621 22134 28828 33201 43242 44268 50449 64863 66402 86484 100898 122519 129726 132804 151347 201796 223417 245038 259452 302694 367557 446834 454041 490076 605388 670251 735114 857633 893668 908082 1102671 1340502 1470228 1563919 1715266 1816164 2010753 2205342 2572899 2681004 3127838 3430532 3798089 4021506 4410684 4691757 5145798 6255676 7596178 7718697 8043012 9383514 10291596 11394267 14075271 15192356 15437394 18767028 22788534 26586623 28150542 30874788 34182801 45577068 53173246 56301084 68365602 79759869 106346492 136731204 159519738 239279607 319039476 478559214 957118428