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42787404 = 223211167647
BaseRepresentation
bin1010001100111…
…0001001001100
32222111211021200
42203032021030
541423144104
64125025500
71026454422
oct243161114
988454250
1042787404
11221748a0
12123b5290
138b314ba
14597b112
153b52b39
hex28ce24c

42787404 has 72 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 12868320.

The previous prime is 42787399. The next prime is 42787447. The reversal of 42787404 is 40478724.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 65809 + ... + 66455.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 242787404 is an apocalyptic number.

42787404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42787404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

42787404 is an abundant number, since it is smaller than the sum of its proper divisors (76092084).

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

42787404 is a wasteful number, since it uses less digits than its factorization.

42787404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 42787404 is about 6541.2081452894. The cubic root of 42787404 is about 349.7614810278.

The spelling of 42787404 in words is "forty-two million, seven hundred eighty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 647 668 1002 1294 1503 1837 1941 2004 2588 3006 3674 3882 5511 5823 6012 7117 7348 7764 11022 11646 14234 16533 21351 22044 23292 28468 33066 42702 64053 66132 85404 108049 128106 216098 256212 324147 432196 648294 972441 1188539 1296588 1944882 2377078 3565617 3889764 4754156 7131234 10696851 14262468 21393702 42787404