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42290472 = 23371391811
BaseRepresentation
bin1010000101010…
…0110100101000
32221120120121210
42201110310220
541311243342
64110233120
71022314560
oct241246450
987516553
1042290472
1121965504
12121b57a0
1389b9263
14588bda0
153aa579c
hex2854d28

42290472 has 64 divisors (see below), whose sum is σ = 121766400. Its totient is φ = 11989440.

The previous prime is 42290471. The next prime is 42290473. The reversal of 42290472 is 27409224.

It is an interprime number because it is at equal distance from previous prime (42290471) and next prime (42290473).

It is not an unprimeable number, because it can be changed into a prime (42290471) 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, 22447 + ... + 24257.

It is an arithmetic number, because the mean of its divisors is an integer number (1902600).

Almost surely, 242290472 is an apocalyptic number.

42290472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60883200).

42290472 is an abundant number, since it is smaller than the sum of its proper divisors (79475928).

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

42290472 is a wasteful number, since it uses less digits than its factorization.

42290472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42290472 is about 6503.1124855718. The cubic root of 42290472 is about 348.4021642074.

Adding to 42290472 its reverse (27409224), we get a palindrome (69699696).

The spelling of 42290472 in words is "forty-two million, two hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1811 1946 2919 3336 3622 3892 5433 5838 7244 7784 10866 11676 12677 14488 21732 23352 25354 38031 43464 50708 76062 101416 152124 251729 304248 503458 755187 1006916 1510374 1762103 2013832 3020748 3524206 5286309 6041496 7048412 10572618 14096824 21145236 42290472