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42019460 = 2257253809
BaseRepresentation
bin1010000001001…
…0101010000100
32221001210212022
42200102222010
541224110320
64100342312
71020105500
oct240225204
987053768
1042019460
112179a92a
12120a4998
138922ab2
14581b300
153a50325
hex2812a84

42019460 has 72 divisors (see below), whose sum is σ = 104713560. Its totient is φ = 14117376.

The previous prime is 42019421. The next prime is 42019487. The reversal of 42019460 is 6491024.

It can be written as a sum of positive squares in 4 ways, for example, as 15476356 + 26543104 = 3934^2 + 5152^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51536 + ... + 52344.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 242019460 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 42019460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52356780).

42019460 is an abundant number, since it is smaller than the sum of its proper divisors (62694100).

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

42019460 is a wasteful number, since it uses less digits than its factorization.

42019460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 42019460 is about 6482.2418961344. The cubic root of 42019460 is about 347.6563414998.

The spelling of 42019460 in words is "forty-two million, nineteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 809 980 1060 1484 1618 1855 2597 3236 3710 4045 5194 5663 7420 8090 10388 11326 12985 16180 22652 25970 28315 39641 42877 51940 56630 79282 85754 113260 158564 171508 198205 214385 300139 396410 428770 600278 792820 857540 1200556 1500695 2100973 3001390 4201946 6002780 8403892 10504865 21009730 42019460