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42849072 = 2432742509
BaseRepresentation
bin1010001101110…
…1001100110000
32222121221212200
42203131030300
541432132242
64130223200
71030132260
oct243351460
988557780
1042849072
1122207162
1212424b00
138b535a6
1459957a0
153b6604c
hex28dd330

42849072 has 60 divisors (see below), whose sum is σ = 137052240. Its totient is φ = 12242304.

The previous prime is 42849067. The next prime is 42849083. The reversal of 42849072 is 27094824.

It is a super-2 number, since 2×428490722 = 3672085942522368, 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, 20247 + ... + 22262.

It is an arithmetic number, because the mean of its divisors is an integer number (2284204).

Almost surely, 242849072 is an apocalyptic number.

42849072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42849072 is an abundant number, since it is smaller than the sum of its proper divisors (94203168).

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

42849072 is a wasteful number, since it uses less digits than its factorization.

42849072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42530 (or 42521 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42849072 is about 6545.9202561596. The cubic root of 42849072 is about 349.9294333924.

The spelling of 42849072 in words is "forty-two million, eight hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 42509 85018 127527 170036 255054 297563 340072 382581 510108 595126 680144 765162 892689 1020216 1190252 1530324 1785378 2040432 2380504 2678067 3060648 3570756 4761008 5356134 6121296 7141512 10712268 14283024 21424536 42849072