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1042582068 = 22321110325561
BaseRepresentation
bin111110001001001…
…000101000110100
32200122210122201200
4332021020220310
54113400111233
6251242052500
734556541603
oct7611105064
92618718650
101042582068
11495568380
122511aa130
13137cc9088
149c673a3a
15617e3313
hex3e248a34

1042582068 has 72 divisors (see below), whose sum is σ = 2903025216. Its totient is φ = 312854400.

The previous prime is 1042582063. The next prime is 1042582081. The reversal of 1042582068 is 8602852401.

1042582068 is a `hidden beast` number, since 10 + 4 + 2 + 582 + 0 + 68 = 666.

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 (1042582061) 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 23 ways as a sum of consecutive naturals, for example, 28008 + ... + 53568.

Almost surely, 21042582068 is an apocalyptic number.

1042582068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042582068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451512608).

1042582068 is an abundant number, since it is smaller than the sum of its proper divisors (1860443148).

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

1042582068 is a wasteful number, since it uses less digits than its factorization.

1042582068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25685 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1042582068 is about 32289.0394406523. The cubic root of 1042582068 is about 1013.9971872989.

The spelling of 1042582068 in words is "one billion, forty-two million, five hundred eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1854 2266 3399 3708 4532 6798 10197 13596 20394 25561 40788 51122 76683 102244 153366 230049 281171 306732 460098 562342 843513 920196 1124684 1687026 2530539 2632783 3374052 5061078 5265566 7898349 10122156 10531132 15796698 23695047 28960613 31593396 47390094 57921226 86881839 94780188 115842452 173763678 260645517 347527356 521291034 1042582068