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42219980 = 22511434463
BaseRepresentation
bin1010000100001…
…1100111001100
32221102222220222
42201003213030
541302014410
64104530512
71021602215
oct241034714
987388828
1042219980
1121917550
1212180a38
13899314a
14587040c
153a8e955
hex28439cc

42219980 has 48 divisors (see below), whose sum is σ = 98993664. Its totient is φ = 14992320.

The previous prime is 42219979. The next prime is 42220081. The reversal of 42219980 is 8991224.

42219980 = T4107 + T4108 + ... + T4111.

It is a super-2 number, since 2×422199802 = 3565053422400800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42219980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7229 + ... + 11691.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 242219980 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 42219980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49496832).

42219980 is an abundant number, since it is smaller than the sum of its proper divisors (56773684).

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

42219980 is a wasteful number, since it uses less digits than its factorization.

42219980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 42219980 is about 6497.6903588891. The cubic root of 42219980 is about 348.2084781549.

It can be divided in two parts, 422 and 19980, that added together give a palindrome (20402).

The spelling of 42219980 in words is "forty-two million, two hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4463 4730 8926 9460 17852 22315 44630 49093 89260 98186 191909 196372 245465 383818 490930 767636 959545 981860 1919090 2110999 3838180 4221998 8443996 10554995 21109990 42219980