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8042412 = 2237671429
BaseRepresentation
bin11110101011011110101100
3120010121010010
4132223132230
54024324122
6444213220
7125234160
oct36533654
916117103
108042412
1145a3424
12283a210
131887831
1410d4ca0
15a8ce0c
hex7ab7ac

8042412 has 48 divisors (see below), whose sum is σ = 21781760. Its totient is φ = 2261952.

The previous prime is 8042407. The next prime is 8042413. The reversal of 8042412 is 2142408.

It is a Harshad number since it is a multiple of its sum of digits (21).

8042412 is a modest number, since divided by 2412 gives 804 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042413) 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, 4914 + ... + 6342.

Almost surely, 28042412 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 8042412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10890880).

8042412 is an abundant number, since it is smaller than the sum of its proper divisors (13739348).

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

8042412 is a wasteful number, since it uses less digits than its factorization.

8042412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 8042412 is about 2835.9146672635. The cubic root of 8042412 is about 200.3528105908.

The spelling of 8042412 in words is "eight million, forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 804 938 1407 1429 1876 2814 2858 4287 5628 5716 8574 10003 17148 20006 30009 40012 60018 95743 120036 191486 287229 382972 574458 670201 1148916 1340402 2010603 2680804 4021206 8042412