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42664764 = 22317415101
BaseRepresentation
bin1010001011000…
…0001100111100
32222021121001110
42202300030330
541410233024
64122242020
71025434032
oct242601474
988247043
1042664764
11220a073a
1212356310
138aba72c
145948552
153b2b629
hex28b033c

42664764 has 48 divisors (see below), whose sum is σ = 107999136. Its totient is φ = 13056000.

The previous prime is 42664753. The next prime is 42664813. The reversal of 42664764 is 46746624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5814 + ... + 10914.

It is an arithmetic number, because the mean of its divisors is an integer number (2249982).

Almost surely, 242664764 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 42664764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53999568).

42664764 is an abundant number, since it is smaller than the sum of its proper divisors (65334372).

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

42664764 is a wasteful number, since it uses less digits than its factorization.

42664764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5164 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 42664764 is about 6531.8270032205. The cubic root of 42664764 is about 349.4269916535.

The spelling of 42664764 in words is "forty-two million, six hundred sixty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 5101 8364 10202 15303 20404 30606 61212 86717 173434 209141 260151 346868 418282 520302 627423 836564 1040604 1254846 2509692 3555397 7110794 10666191 14221588 21332382 42664764