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42019410 = 23517471753
BaseRepresentation
bin1010000001001…
…0101001010010
32221001210210110
42200102221102
541224110120
64100342150
71020105366
oct240225122
987053713
1042019410
112179a894
12120a4956
138922a74
14581b2a6
153a502e0
hex2812a52

42019410 has 64 divisors (see below), whose sum is σ = 109112832. Its totient is φ = 10315776.

The previous prime is 42019409. The next prime is 42019421. The reversal of 42019410 is 1491024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23094 + ... + 24846.

It is an arithmetic number, because the mean of its divisors is an integer number (1704888).

Almost surely, 242019410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42019410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54556416).

42019410 is an abundant number, since it is smaller than the sum of its proper divisors (67093422).

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

42019410 is a wasteful number, since it uses less digits than its factorization.

42019410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42019410 is about 6482.2380394429. The cubic root of 42019410 is about 347.6562036048.

The spelling of 42019410 in words is "forty-two million, nineteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 1753 2397 3506 3995 4794 5259 7990 8765 10518 11985 17530 23970 26295 29801 52590 59602 82391 89403 149005 164782 178806 247173 298010 411955 447015 494346 823910 894030 1235865 1400647 2471730 2801294 4201941 7003235 8403882 14006470 21009705 42019410