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42609880 = 23553101199
BaseRepresentation
bin1010001010001…
…0110011011000
32222011210202201
42202202303120
541402004010
64121135544
71025115025
oct242426330
988153681
1042609880
1122063485
121232a5b4
138a9b761
14593254c
153b1a23a
hex28a2cd8

42609880 has 64 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 16473600.

The previous prime is 42609863. The next prime is 42609887. The reversal of 42609880 is 8890624.

It is a super-2 number, since 2×426098802 = 3631203747228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42609887) by changing a digit.

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, 214021 + ... + 214219.

It is an arithmetic number, because the mean of its divisors is an integer number (1549125).

Almost surely, 242609880 is an apocalyptic number.

42609880 is a gapful number since it is divisible by the number (40) 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 42609880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

42609880 is an abundant number, since it is smaller than the sum of its proper divisors (56534120).

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

42609880 is a wasteful number, since it uses less digits than its factorization.

42609880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 42609880 is about 6527.6243764481. The cubic root of 42609880 is about 349.2770929345.

The spelling of 42609880 in words is "forty-two million, six hundred nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 199 202 212 265 398 404 424 505 530 796 808 995 1010 1060 1592 1990 2020 2120 3980 4040 5353 7960 10547 10706 20099 21094 21412 26765 40198 42188 42824 52735 53530 80396 84376 100495 105470 107060 160792 200990 210940 214120 401980 421880 803960 1065247 2130494 4260988 5326235 8521976 10652470 21304940 42609880