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42022240 = 2551389227
BaseRepresentation
bin1010000001001…
…1010101100000
32221001221200021
42200103111200
541224202430
64100403224
71020116551
oct240232540
987057607
1042022240
11217a1a27
12120a6514
138924140
14581c328
153a5107a
hex2813560

42022240 has 96 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 15273984.

The previous prime is 42022207. The next prime is 42022241. The reversal of 42022240 is 4222024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022241) 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, 185007 + ... + 185233.

It is an arithmetic number, because the mean of its divisors is an integer number (1131165).

Almost surely, 242022240 is an apocalyptic number.

42022240 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 42022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

42022240 is an abundant number, since it is smaller than the sum of its proper divisors (66569600).

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

42022240 is a wasteful number, since it uses less digits than its factorization.

42022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42022240 is about 6482.4563245733. The cubic root of 42022240 is about 347.6640082913.

Adding to 42022240 its reverse (4222024), we get a palindrome (46244264).

The spelling of 42022240 in words is "forty-two million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 89 104 130 160 178 208 227 260 356 416 445 454 520 712 890 908 1040 1135 1157 1424 1780 1816 2080 2270 2314 2848 2951 3560 3632 4540 4628 5785 5902 7120 7264 9080 9256 11570 11804 14240 14755 18160 18512 20203 23140 23608 29510 36320 37024 40406 46280 47216 59020 80812 92560 94432 101015 118040 161624 185120 202030 236080 262639 323248 404060 472160 525278 646496 808120 1050556 1313195 1616240 2101112 2626390 3232480 4202224 5252780 8404448 10505560 21011120 42022240