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42212436 = 22371633083
BaseRepresentation
bin1010000100000…
…1110001010100
32221102121120120
42201001301110
541301244221
64104431540
71021541220
oct241016124
987377516
1042212436
1121911912
12121785b0
13898c896
14586b780
153a8c5c6
hex2841c54

42212436 has 48 divisors (see below), whose sum is σ = 113293824. Its totient is φ = 11982816.

The previous prime is 42212431. The next prime is 42212441. The reversal of 42212436 is 63421224.

42212436 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (42212431) and next prime (42212441).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212431) 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, 12151 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (2360288).

Almost surely, 242212436 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 42212436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56646912).

42212436 is an abundant number, since it is smaller than the sum of its proper divisors (71081388).

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

42212436 is a wasteful number, since it uses less digits than its factorization.

42212436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3258 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42212436 is about 6497.1098189887. The cubic root of 42212436 is about 348.1877372542.

The spelling of 42212436 in words is "forty-two million, two hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 489 652 978 1141 1956 2282 3083 3423 4564 6166 6846 9249 12332 13692 18498 21581 36996 43162 64743 86324 129486 258972 502529 1005058 1507587 2010116 3015174 3517703 6030348 7035406 10553109 14070812 21106218 42212436