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42747136 = 28374513
BaseRepresentation
bin1010001100010…
…0010100000000
32222102210001021
42203010110000
541420402021
64124115224
71026226135
oct243042400
988383037
1042747136
1122147613
1212395b14
138b19083
14596a58c
153b45c41
hex28c4500

42747136 has 36 divisors (see below), whose sum is σ = 87652852. Its totient is φ = 20791296.

The previous prime is 42747127. The next prime is 42747143. The reversal of 42747136 is 63174724.

It can be written as a sum of positive squares in 2 ways, for example, as 14868736 + 27878400 = 3856^2 + 5280^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7216 + ... + 11728.

Almost surely, 242747136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43826426).

42747136 is an abundant number, since it is smaller than the sum of its proper divisors (44905716).

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

42747136 is an equidigital number, since it uses as much as digits as its factorization.

42747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566 (or 4552 counting only the distinct ones).

The product of its digits is 28224, while the sum is 34.

The square root of 42747136 is about 6538.1293960888. The cubic root of 42747136 is about 349.6517243034.

The spelling of 42747136 in words is "forty-two million, seven hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4513 4736 9026 9472 18052 36104 72208 144416 166981 288832 333962 577664 667924 1155328 1335848 2671696 5343392 10686784 21373568 42747136