Search a number
-
+
42512820 = 22357101221
BaseRepresentation
bin1010001000101…
…1000110110100
32221222212121220
42202023012310
541340402240
64115110340
71024232040
oct242130664
987885556
1042512820
1121aa7569
12122a23b0
138a6651c
145909020
153aeb5d0
hex288b1b4

42512820 has 48 divisors (see below), whose sum is σ = 136042368. Its totient is φ = 9717120.

The previous prime is 42512803. The next prime is 42512839. The reversal of 42512820 is 2821524.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 50191 + ... + 51030.

It is an arithmetic number, because the mean of its divisors is an integer number (2834216).

Almost surely, 242512820 is an apocalyptic number.

It is an amenable number.

42512820 is an abundant number, since it is smaller than the sum of its proper divisors (93529548).

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

42512820 is a wasteful number, since it uses less digits than its factorization.

42512820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101240 (or 101238 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42512820 is about 6520.1855801810. The cubic root of 42512820 is about 349.0116880731.

The spelling of 42512820 in words is "forty-two million, five hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 101221 202442 303663 404884 506105 607326 708547 1012210 1214652 1417094 1518315 2024420 2125641 2834188 3036630 3542735 4251282 6073260 7085470 8502564 10628205 14170940 21256410 42512820