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42009732 = 2233541719
BaseRepresentation
bin1010000001000…
…0010010000100
32221001022112000
42200100102010
541223302412
64100225300
71020035232
oct240202204
987038460
1042009732
1121793596
121209b230
13891b53b
145817952
153a4c4dc
hex2810484

42009732 has 48 divisors (see below), whose sum is σ = 109267200. Its totient is φ = 13957920.

The previous prime is 42009727. The next prime is 42009739. The reversal of 42009732 is 23790024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42009696 and 42009705.

It is not an unprimeable number, because it can be changed into a prime (42009739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58069 + ... + 58787.

It is an arithmetic number, because the mean of its divisors is an integer number (2276400).

Almost surely, 242009732 is an apocalyptic number.

It is an amenable number.

42009732 is an abundant number, since it is smaller than the sum of its proper divisors (67257468).

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

42009732 is a wasteful number, since it uses less digits than its factorization.

42009732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42009732 is about 6481.4914950187. The cubic root of 42009732 is about 347.6295105829.

Adding to 42009732 its reverse (23790024), we get a palindrome (65799756).

The spelling of 42009732 in words is "forty-two million, nine thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 541 719 1082 1438 1623 2157 2164 2876 3246 4314 4869 6471 6492 8628 9738 12942 14607 19413 19476 25884 29214 38826 58428 77652 388979 777958 1166937 1555916 2333874 3500811 4667748 7001622 10502433 14003244 21004866 42009732