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42197976 = 2333347563
BaseRepresentation
bin1010000011111…
…0001111011000
32221101212202000
42200332033120
541300313401
64104241000
71021451112
oct240761730
987355660
1042197976
1121901a67
1212170160
138986122
1458663b2
153a88186
hex283e3d8

42197976 has 64 divisors (see below), whose sum is σ = 117763200. Its totient is φ = 14000544.

The previous prime is 42197971. The next prime is 42197977. The reversal of 42197976 is 67979124.

42197976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42197971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74671 + ... + 75233.

It is an arithmetic number, because the mean of its divisors is an integer number (1840050).

Almost surely, 242197976 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 42197976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58881600).

42197976 is an abundant number, since it is smaller than the sum of its proper divisors (75565224).

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

42197976 is a wasteful number, since it uses less digits than its factorization.

42197976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 42197976 is about 6495.9969211815. The cubic root of 42197976 is about 348.1479751197.

The spelling of 42197976 in words is "forty-two million, one hundred ninety-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 347 563 694 1041 1126 1388 1689 2082 2252 2776 3123 3378 4164 4504 5067 6246 6756 8328 9369 10134 12492 13512 15201 18738 20268 24984 30402 37476 40536 60804 74952 121608 195361 390722 586083 781444 1172166 1562888 1758249 2344332 3516498 4688664 5274747 7032996 10549494 14065992 21098988 42197976