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42671910 = 23519431741
BaseRepresentation
bin1010001011000…
…1111100100110
32222021221212010
42202301330212
541411000120
64122335050
71025463621
oct242617446
988257763
1042671910
11220a6046
121235a486
138ac0a68
14594adb8
153b2d7e0
hex28b1f26

42671910 has 64 divisors (see below), whose sum is σ = 110373120. Its totient is φ = 10523520.

The previous prime is 42671869. The next prime is 42671957. The reversal of 42671910 is 1917624.

It is a happy number.

42671910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23640 + ... + 25380.

It is an arithmetic number, because the mean of its divisors is an integer number (1724580).

Almost surely, 242671910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42671910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55186560).

42671910 is an abundant number, since it is smaller than the sum of its proper divisors (67701210).

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

42671910 is a wasteful number, since it uses less digits than its factorization.

42671910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 42671910 is about 6532.3739941923. The cubic root of 42671910 is about 349.4464992881.

The spelling of 42671910 in words is "forty-two million, six hundred seventy-one thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 1741 2451 3482 4085 4902 5223 8170 8705 10446 12255 17410 24510 26115 33079 52230 66158 74863 99237 149726 165395 198474 224589 330790 374315 449178 496185 748630 992370 1122945 1422397 2245890 2844794 4267191 7111985 8534382 14223970 21335955 42671910