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42216024 = 23319432153
BaseRepresentation
bin1010000100001…
…0101001011000
32221102210111110
42201002221120
541301403044
64104500320
71021554534
oct241025130
987383443
1042216024
1121914584
121217a6a0
1389913c6
14586cbc4
153a8d6b9
hex2842a58

42216024 has 64 divisors (see below), whose sum is σ = 113731200. Its totient is φ = 13015296.

The previous prime is 42216023. The next prime is 42216029. The reversal of 42216024 is 42061224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216023) 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, 18532 + ... + 20684.

It is an arithmetic number, because the mean of its divisors is an integer number (1777050).

Almost surely, 242216024 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 42216024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56865600).

42216024 is an abundant number, since it is smaller than the sum of its proper divisors (71515176).

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

42216024 is a wasteful number, since it uses less digits than its factorization.

42216024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42216024 is about 6497.3859358976. The cubic root of 42216024 is about 348.1976021371.

Adding to 42216024 its reverse (42061224), we get a palindrome (84277248).

The spelling of 42216024 in words is "forty-two million, two hundred sixteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1634 2153 2451 3268 4306 4902 6459 6536 8612 9804 12918 17224 19608 25836 40907 51672 81814 92579 122721 163628 185158 245442 277737 327256 370316 490884 555474 740632 981768 1110948 1759001 2221896 3518002 5277003 7036004 10554006 14072008 21108012 42216024