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42284808 = 23331631201
BaseRepresentation
bin1010000101001…
…1011100001000
32221120021212000
42201103130020
541311103213
64110151000
71022262216
oct241233410
987507760
1042284808
1121961225
12121b2460
1389b67c7
145889cb6
153aa3c73
hex2853708

42284808 has 64 divisors (see below), whose sum is σ = 118276800. Its totient is φ = 13996800.

The previous prime is 42284807. The next prime is 42284843. The reversal of 42284808 is 80848224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284807) 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, 34608 + ... + 35808.

It is an arithmetic number, because the mean of its divisors is an integer number (1848075).

Almost surely, 242284808 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 42284808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59138400).

42284808 is an abundant number, since it is smaller than the sum of its proper divisors (75991992).

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

42284808 is a wasteful number, since it uses less digits than its factorization.

42284808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42284808 is about 6502.6769872107. The cubic root of 42284808 is about 348.3866095772.

The spelling of 42284808 in words is "forty-two million, two hundred eighty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1201 1304 1467 1956 2402 2934 3603 3912 4401 4804 5868 7206 8802 9608 10809 11736 14412 17604 21618 28824 32427 35208 43236 64854 86472 129708 195763 259416 391526 587289 783052 1174578 1566104 1761867 2349156 3523734 4698312 5285601 7047468 10571202 14094936 21142404 42284808