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42263064 = 2332678761
BaseRepresentation
bin1010000100111…
…0001000011000
32221112012000200
42201032020120
541304404224
64105502200
71022141634
oct241161030
987465020
1042263064
1121946958
12121a1960
1389a993c
145881dc4
153a9c5c9
hex284e218

42263064 has 48 divisors (see below), whose sum is σ = 116184120. Its totient is φ = 13875840.

The previous prime is 42263059. The next prime is 42263069. The reversal of 42263064 is 46036224.

42263064 is a `hidden beast` number, since 4 + 22 + 630 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42263059) and next prime (42263069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42263069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 9204.

Almost surely, 242263064 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 42263064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58092060).

42263064 is an abundant number, since it is smaller than the sum of its proper divisors (73921056).

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

42263064 is a wasteful number, since it uses less digits than its factorization.

42263064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8840 (or 8833 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42263064 is about 6501.0048454066. The cubic root of 42263064 is about 348.3268827104.

Adding to 42263064 its reverse (46036224), we get a palindrome (88299288).

The spelling of 42263064 in words is "forty-two million, two hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 8761 17522 26283 35044 52566 70088 78849 105132 157698 210264 315396 586987 630792 1173974 1760961 2347948 3521922 4695896 5282883 7043844 10565766 14087688 21131532 42263064