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42854952 = 2337534813
BaseRepresentation
bin1010001101111…
…0101000101000
32222122020221110
42203132220220
541432324302
64130310320
71030155360
oct243365050
988566843
1042854952
1122210618
12124283a0
138b5617a
1459979a0
153b67b6c
hex28dea28

42854952 has 64 divisors (see below), whose sum is σ = 124778880. Its totient is φ = 12010752.

The previous prime is 42854941. The next prime is 42854983. The reversal of 42854952 is 25945824.

It is a self number, because there is not a number n which added to its sum of digits gives 42854952.

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, 6498 + ... + 11310.

It is an arithmetic number, because the mean of its divisors is an integer number (1949670).

Almost surely, 242854952 is an apocalyptic number.

42854952 is a gapful number since it is divisible by the number (42) 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 42854952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62389440).

42854952 is an abundant number, since it is smaller than the sum of its proper divisors (81923928).

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

42854952 is a wasteful number, since it uses less digits than its factorization.

42854952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4878 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 42854952 is about 6546.3693754630. The cubic root of 42854952 is about 349.9454391141.

The spelling of 42854952 in words is "forty-two million, eight hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2226 2968 4452 4813 8904 9626 14439 19252 28878 33691 38504 57756 67382 101073 115512 134764 202146 255089 269528 404292 510178 765267 808584 1020356 1530534 1785623 2040712 3061068 3571246 5356869 6122136 7142492 10713738 14284984 21427476 42854952