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102995442 = 2331131433
BaseRepresentation
bin1100010001110…
…01010111110010
321011210201012000
412020321113302
5202331323232
614115314430
72360306154
oct610712762
9234721160
10102995442
1153158000
122a5aba16
1318452064
14d970ad4
15909727c
hex62395f2

102995442 has 64 divisors (see below), whose sum is σ = 251925120. Its totient is φ = 31188960.

The previous prime is 102995441. The next prime is 102995479. The reversal of 102995442 is 244599201.

102995442 is a `hidden beast` number, since 102 + 9 + 9 + 544 + 2 = 666.

It is a super-2 number, since 2×1029954422 = 21216122145550728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102995397 and 102995406.

It is not an unprimeable number, because it can be changed into a prime (102995441) 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, 71158 + ... + 72590.

It is an arithmetic number, because the mean of its divisors is an integer number (3936330).

Almost surely, 2102995442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102995442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125962560).

102995442 is an abundant number, since it is smaller than the sum of its proper divisors (148929678).

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

102995442 is a wasteful number, since it uses less digits than its factorization.

102995442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102995442 is about 10148.6670060654. The cubic root of 102995442 is about 468.7479001506.

The spelling of 102995442 in words is "one hundred two million, nine hundred ninety-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1331 1433 2178 2662 2866 3267 3993 4299 6534 7986 8598 11979 12897 15763 23958 25794 31526 35937 38691 47289 71874 77382 94578 141867 173393 283734 346786 425601 520179 851202 1040358 1560537 1907323 3121074 3814646 4681611 5721969 9363222 11443938 17165907 34331814 51497721 102995442