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42485436 = 22327533181
BaseRepresentation
bin1010001000010…
…0011010111100
32221221111001200
42202010122330
541334013221
64114335500
71024056150
oct242043274
987844050
1042485436
1121a88a34
121228a590
138a56c16
1458dd060
153ae3426
hex28846bc

42485436 has 72 divisors (see below), whose sum is σ = 125090784. Its totient is φ = 11905920.

The previous prime is 42485411. The next prime is 42485473. The reversal of 42485436 is 63458424.

It is a super-2 number, since 2×424854362 = 3610024544220192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42485436.

It is a congruent number.

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, 11766 + ... + 14946.

It is an arithmetic number, because the mean of its divisors is an integer number (1737372).

Almost surely, 242485436 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 42485436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62545392).

42485436 is an abundant number, since it is smaller than the sum of its proper divisors (82605348).

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

42485436 is a wasteful number, since it uses less digits than its factorization.

42485436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3246 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42485436 is about 6518.0853016818. The cubic root of 42485436 is about 348.9367350834.

The spelling of 42485436 in words is "forty-two million, four hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1908 2226 3181 3339 4452 6362 6678 9543 12724 13356 19086 22267 28629 38172 44534 57258 66801 89068 114516 133602 168593 200403 267204 337186 400806 505779 674372 801612 1011558 1180151 1517337 2023116 2360302 3034674 3540453 4720604 6069348 7080906 10621359 14161812 21242718 42485436