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42187284 = 2233735351
BaseRepresentation
bin1010000011101…
…1101000010100
32221101100002000
42200323220110
541244443114
64104115300
71021404666
oct240735024
987340060
1042187284
11218a4a27
1212165b30
1389812b9
145862536
153a84e09
hex283ba14

42187284 has 48 divisors (see below), whose sum is σ = 110893440. Its totient is φ = 13867200.

The previous prime is 42187283. The next prime is 42187297. The reversal of 42187284 is 48278124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42187283) 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, 5209 + ... + 10559.

It is an arithmetic number, because the mean of its divisors is an integer number (2310280).

Almost surely, 242187284 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 42187284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55446720).

42187284 is an abundant number, since it is smaller than the sum of its proper divisors (68706156).

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

42187284 is a wasteful number, since it uses less digits than its factorization.

42187284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5429 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42187284 is about 6495.1739006743. The cubic root of 42187284 is about 348.1185683966.

The spelling of 42187284 in words is "forty-two million, one hundred eighty-seven thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 5351 7884 10702 16053 21404 32106 48159 64212 96318 144477 192636 288954 390623 577908 781246 1171869 1562492 2343738 3515607 4687476 7031214 10546821 14062428 21093642 42187284