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42364288 = 27432179
BaseRepresentation
bin1010000110011…
…0110110000000
32221201022212201
42201212312000
541321124123
64112002544
71023043021
oct241466600
987638781
1042364288
1121a05a0a
1212230454
138a13a35
1458aac48
153abc5ad
hex2866d80

42364288 has 48 divisors (see below), whose sum is σ = 86888700. Its totient is φ = 20573952.

The previous prime is 42364277. The next prime is 42364291. The reversal of 42364288 is 88246324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 236583 + ... + 236761.

Almost surely, 242364288 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 42364288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43444350).

42364288 is an abundant number, since it is smaller than the sum of its proper divisors (44524412).

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

42364288 is an equidigital number, since it uses as much as digits as its factorization.

42364288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 224 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The square root of 42364288 is about 6508.7854473780. The cubic root of 42364288 is about 348.6047528320.

The spelling of 42364288 in words is "forty-two million, three hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 179 344 358 688 716 1376 1432 1849 2752 2864 3698 5504 5728 7396 7697 11456 14792 15394 22912 29584 30788 59168 61576 118336 123152 236672 246304 330971 492608 661942 985216 1323884 2647768 5295536 10591072 21182144 42364288