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42010212 = 22329611979
BaseRepresentation
bin1010000001000…
…0011001100100
32221001100011210
42200100121210
541223311322
64100231420
71020036516
oct240203144
987040153
1042010212
1121793992
121209b570
13891b81a
145817bb6
153a4c70c
hex2810664

42010212 has 48 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 13292160.

The previous prime is 42010211. The next prime is 42010223. The reversal of 42010212 is 21201024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (42010211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20239 + ... + 22217.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 242010212 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 42010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

42010212 is an abundant number, since it is smaller than the sum of its proper divisors (61108188).

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

42010212 is a wasteful number, since it uses less digits than its factorization.

42010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 42010212 is about 6481.5285234272. The cubic root of 42010212 is about 347.6308345740.

Adding to 42010212 its reverse (21201024), we get a palindrome (63211236).

The spelling of 42010212 in words is "forty-two million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 732 1769 1979 3538 3958 5307 5937 7076 7916 10614 11874 21228 23748 57391 114782 120719 172173 229564 241438 344346 362157 482876 688692 724314 1448628 3500851 7001702 10502553 14003404 21005106 42010212