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42272202 = 2372592437
BaseRepresentation
bin1010000101000…
…0010111001010
32221112122120010
42201100113022
541310202302
64110012350
71022210400
oct241202712
987478503
1042272202
1121952805
12121a70b6
1389b0b4b
145885470
153aa016c
hex28505ca

42272202 has 48 divisors (see below), whose sum is σ = 100055520. Its totient is φ = 11868192.

The previous prime is 42272201. The next prime is 42272203. The reversal of 42272202 is 20227224.

It is an interprime number because it is at equal distance from previous prime (42272201) and next prime (42272203).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (42272201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16128 + ... + 18564.

It is an arithmetic number, because the mean of its divisors is an integer number (2084490).

Almost surely, 242272202 is an apocalyptic number.

42272202 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 42272202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50027760).

42272202 is an abundant number, since it is smaller than the sum of its proper divisors (57783318).

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

42272202 is a wasteful number, since it uses less digits than its factorization.

42272202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 42272202 is about 6501.7076218483. The cubic root of 42272202 is about 348.3519856519.

Adding to 42272202 its reverse (20227224), we get a palindrome (62499426).

The spelling of 42272202 in words is "forty-two million, two hundred seventy-two thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 59 98 118 147 177 294 354 413 826 1239 2437 2478 2891 4874 5782 7311 8673 14622 17059 17346 34118 51177 102354 119413 143783 238826 287566 358239 431349 716478 862698 1006481 2012962 3019443 6038886 7045367 14090734 21136101 42272202