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42012216 = 2333672903
BaseRepresentation
bin1010000001000…
…0111000111000
32221001102221000
42200100320320
541223342331
64100245000
71020045411
oct240207070
987042830
1042012216
1121795444
12120a0760
13891c6cc
145818808
153a4d0e6
hex2810e38

42012216 has 64 divisors (see below), whose sum is σ = 118483200. Its totient is φ = 13790304.

The previous prime is 42012209. The next prime is 42012221. The reversal of 42012216 is 61221024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13021 + ... + 15923.

It is an arithmetic number, because the mean of its divisors is an integer number (1851300).

Almost surely, 242012216 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 42012216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241600).

42012216 is an abundant number, since it is smaller than the sum of its proper divisors (76470984).

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

42012216 is a wasteful number, since it uses less digits than its factorization.

42012216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42012216 is about 6481.6831147473. The cubic root of 42012216 is about 347.6363621277.

The spelling of 42012216 in words is "forty-two million, twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 2903 3618 4824 5806 7236 8709 11612 14472 17418 23224 26127 34836 52254 69672 78381 104508 156762 194501 209016 313524 389002 583503 627048 778004 1167006 1556008 1750509 2334012 3501018 4668024 5251527 7002036 10503054 14004072 21006108 42012216