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42263802 = 2337176577
BaseRepresentation
bin1010000100111…
…0010011111010
32221112020001000
42201032103322
541304420202
64105505430
71022144040
oct241162372
987466030
1042263802
1121947469
12121a2276
1389aa089
145882390
153a9c91c
hex284e4fa

42263802 has 64 divisors (see below), whose sum is σ = 113667840. Its totient is φ = 11363328.

The previous prime is 42263791. The next prime is 42263813. The reversal of 42263802 is 20836224.

42263802 is a `hidden beast` number, since 4 + 22 + 638 + 0 + 2 = 666.

42263802 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42263791) and next prime (42263813).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3138 + ... + 9714.

It is an arithmetic number, because the mean of its divisors is an integer number (1776060).

Almost surely, 242263802 is an apocalyptic number.

42263802 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42263802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56833920).

42263802 is an abundant number, since it is smaller than the sum of its proper divisors (71404038).

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

42263802 is a wasteful number, since it uses less digits than its factorization.

42263802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42263802 is about 6501.0616056149. The cubic root of 42263802 is about 348.3289101998.

The spelling of 42263802 in words is "forty-two million, two hundred sixty-three thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 6577 13154 19731 39462 46039 59193 92078 111809 118386 138117 177579 223618 276234 335427 355158 414351 670854 782663 828702 1006281 1243053 1565326 2012562 2347989 2486106 3018843 4695978 6037686 7043967 14087934 21131901 42263802