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42023212 = 227111943167
BaseRepresentation
bin1010000001001…
…1100100101100
32221002000000021
42200103210230
541224220322
64100411524
71020122440
oct240234454
987060007
1042023212
11217a2730
12120a6ba4
13892470a
14581c820
153a514c7
hex281392c

42023212 has 96 divisors (see below), whose sum is σ = 99348480. Its totient is φ = 15059520.

The previous prime is 42023207. The next prime is 42023221. The reversal of 42023212 is 21232024.

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, 251553 + ... + 251719.

It is an arithmetic number, because the mean of its divisors is an integer number (1034880).

Almost surely, 242023212 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 42023212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49674240).

42023212 is an abundant number, since it is smaller than the sum of its proper divisors (57325268).

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

42023212 is a wasteful number, since it uses less digits than its factorization.

42023212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42023212 is about 6482.5312957208. The cubic root of 42023212 is about 347.6666888307. Note that the first 4 decimals are identical.

Adding to 42023212 its reverse (21232024), we get a palindrome (63255236).

It can be divided in two parts, 420 and 23212, that added together give a palindrome (23632).

The spelling of 42023212 in words is "forty-two million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 43 44 76 77 86 133 154 167 172 209 266 301 308 334 418 473 532 602 668 817 836 946 1169 1204 1463 1634 1837 1892 2338 2926 3173 3268 3311 3674 4676 5719 5852 6346 6622 7181 7348 8987 11438 12692 12859 13244 14362 17974 22211 22876 25718 28724 34903 35948 44422 50267 51436 62909 69806 78991 88844 100534 125818 136439 139612 157982 201068 244321 251636 272878 315964 488642 545756 552937 955073 977284 1105874 1500829 1910146 2211748 3001658 3820292 6003316 10505803 21011606 42023212