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8024412 = 22311313753
BaseRepresentation
bin11110100111000101011100
3120002200102110
4132213011130
54023240122
6443554020
7125130534
oct36470534
916080373
108024412
114590950
12282b910
13187c596
1410cc4c4
15a8790c
hex7a715c

8024412 has 96 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2246400.

The previous prime is 8024407. The next prime is 8024417. The reversal of 8024412 is 2144208.

It is an interprime number because it is at equal distance from previous prime (8024407) and next prime (8024417).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8024417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151378 + ... + 151430.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 28024412 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 8024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

8024412 is an abundant number, since it is smaller than the sum of its proper divisors (14038692).

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

8024412 is a wasteful number, since it uses less digits than its factorization.

8024412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

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

The square root of 8024412 is about 2832.7393102790. The cubic root of 8024412 is about 200.2032267578.

The spelling of 8024412 in words is "eight million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 53 62 66 74 93 106 111 124 132 148 159 186 212 222 318 341 372 407 444 583 636 682 814 1023 1147 1166 1221 1364 1628 1643 1749 1961 2046 2294 2332 2442 3286 3441 3498 3922 4092 4588 4884 4929 5883 6572 6882 6996 7844 9858 11766 12617 13764 18073 19716 21571 23532 25234 36146 37851 43142 50468 54219 60791 64713 72292 75702 86284 108438 121582 129426 151404 182373 216876 243164 258852 364746 668701 729492 1337402 2006103 2674804 4012206 8024412