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42829092 = 22324129017
BaseRepresentation
bin1010001101100…
…0010100100100
32222120221110200
42203120110210
541431012332
64125550500
71030020105
oct243302444
988527420
1042829092
11221a3149
1212415430
138b47477
14598c3ac
153b6017c
hex28d8524

42829092 has 36 divisors (see below), whose sum is σ = 110906796. Its totient is φ = 13927680.

The previous prime is 42829049. The next prime is 42829109. The reversal of 42829092 is 29092824.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 38266596 = 2136^2 + 6186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×428290922 = 3668662243088928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13033 + ... + 15984.

Almost surely, 242829092 is an apocalyptic number.

It is an amenable number.

42829092 is an abundant number, since it is smaller than the sum of its proper divisors (68077704).

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

42829092 is a wasteful number, since it uses less digits than its factorization.

42829092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29068 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42829092 is about 6544.3939367981. The cubic root of 42829092 is about 349.8750356600.

The spelling of 42829092 in words is "forty-two million, eight hundred twenty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 29017 58034 87051 116068 174102 261153 348204 522306 1044612 1189697 2379394 3569091 4758788 7138182 10707273 14276364 21414546 42829092