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10412892 = 2232725903
BaseRepresentation
bin100111101110…
…001101011100
3201121000210200
4213232031130
510131203032
61011103500
7154336200
oct47561534
921530720
1010412892
1159723a6
1235a1b90
132207799
141550b00
15daa47c
hex9ee35c

10412892 has 54 divisors (see below), whose sum is σ = 30624048. Its totient is φ = 2974608.

The previous prime is 10412867. The next prime is 10412903. The reversal of 10412892 is 29821401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1188 + ... + 4715.

It is an arithmetic number, because the mean of its divisors is an integer number (567112).

Almost surely, 210412892 is an apocalyptic number.

10412892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10412892 is an abundant number, since it is smaller than the sum of its proper divisors (20211156).

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

10412892 is a wasteful number, since it uses less digits than its factorization.

10412892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5927 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10412892 is about 3226.9013000090. The cubic root of 10412892 is about 218.3687331965.

It can be divided in two parts, 104 and 12892, that added together give a square (12996 = 1142).

The spelling of 10412892 in words is "ten million, four hundred twelve thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5903 11806 17709 23612 35418 41321 53127 70836 82642 106254 123963 165284 212508 247926 289247 371889 495852 578494 743778 867741 1156988 1487556 1735482 2603223 3470964 5206446 10412892