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42160944 = 2437179701
BaseRepresentation
bin1010000011010…
…1001100110000
32221022222221110
42200311030300
541243122234
64103353320
71021235130
oct240651460
987288843
1042160944
1121887161
1212152840
138972307
145856ac0
153a7c1e9
hex2835330

42160944 has 80 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 11961600.

The previous prime is 42160939. The next prime is 42160949. The reversal of 42160944 is 44906124.

It is an interprime number because it is at equal distance from previous prime (42160939) and next prime (42160949).

It is a super-2 number, since 2×421609442 = 3555090397942272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42160949) 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, 59794 + ... + 60494.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 242160944 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 42160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

42160944 is an abundant number, since it is smaller than the sum of its proper divisors (83188176).

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

42160944 is a wasteful number, since it uses less digits than its factorization.

42160944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42160944 is about 6493.1459247425. The cubic root of 42160944 is about 348.0461030213.

The spelling of 42160944 in words is "forty-two million, one hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 701 716 1074 1253 1402 1432 2103 2148 2506 2804 2864 3759 4206 4296 4907 5012 5608 7518 8412 8592 9814 10024 11216 14721 15036 16824 19628 20048 29442 30072 33648 39256 58884 60144 78512 117768 125479 235536 250958 376437 501916 752874 878353 1003832 1505748 1756706 2007664 2635059 3011496 3513412 5270118 6022992 7026824 10540236 14053648 21080472 42160944