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42828040 = 23510110601
BaseRepresentation
bin1010001101100…
…0000100001000
32222120220000201
42203120010020
541430444130
64125541544
71030014043
oct243300410
988526021
1042828040
11221a2382
12124148b4
138b46b48
14598bc5a
153b5ebca
hex28d8108

42828040 has 32 divisors (see below), whose sum is σ = 97326360. Its totient is φ = 16960000.

The previous prime is 42828029. The next prime is 42828059. The reversal of 42828040 is 4082824.

It can be written as a sum of positive squares in 4 ways, for example, as 42797764 + 30276 = 6542^2 + 174^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1261 + ... + 9340.

Almost surely, 242828040 is an apocalyptic number.

42828040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42828040 is an abundant number, since it is smaller than the sum of its proper divisors (54498320).

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

42828040 is a wasteful number, since it uses less digits than its factorization.

42828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10713 (or 10709 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 42828040 is about 6544.3135621698. The cubic root of 42828040 is about 349.8721710063.

The spelling of 42828040 in words is "forty-two million, eight hundred twenty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 10601 21202 42404 53005 84808 106010 212020 424040 1070701 2141402 4282804 5353505 8565608 10707010 21414020 42828040