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42512220 = 223251032293
BaseRepresentation
bin1010001000101…
…0111101011100
32221222211210200
42202022331130
541340342340
64115103500
71024230222
oct242127534
987884720
1042512220
1121aa7073
12122a1b90
138a6617a
145908b12
153aeb330
hex288af5c

42512220 has 72 divisors (see below), whose sum is σ = 130262496. Its totient is φ = 11221632.

The previous prime is 42512219. The next prime is 42512269. The reversal of 42512220 is 2221524.

42512220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42512193 and 42512202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 17394 + ... + 19686.

Almost surely, 242512220 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 42512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65131248).

42512220 is an abundant number, since it is smaller than the sum of its proper divisors (87750276).

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

42512220 is a wasteful number, since it uses less digits than its factorization.

42512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42512220 is about 6520.1395690583. The cubic root of 42512220 is about 349.0100461527.

Adding to 42512220 its reverse (2221524), we get a palindrome (44733744).

The spelling of 42512220 in words is "forty-two million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 2293 3090 3708 4586 4635 6180 6879 9172 9270 11465 13758 18540 20637 22930 27516 34395 41274 45860 68790 82548 103185 137580 206370 236179 412740 472358 708537 944716 1180895 1417074 2125611 2361790 2834148 3542685 4251222 4723580 7085370 8502444 10628055 14170740 21256110 42512220