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1042625808 = 243273892659
BaseRepresentation
bin111110001001010…
…011010100010000
32200122212212201200
4332021103110100
54113403011213
6251243031200
734560113250
oct7611232420
92618785650
101042625808
11495598224
1225120b500
13138012c63
149c685960
1561801273
hex3e253510

1042625808 has 120 divisors (see below), whose sum is σ = 3344577600. Its totient is φ = 297015552.

The previous prime is 1042625803. The next prime is 1042625813. The reversal of 1042625808 is 8085262401.

1042625808 is a `hidden beast` number, since 10 + 4 + 2 + 62 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1042625803) and next prime (1042625813).

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

It is not an unprimeable number, because it can be changed into a prime (1042625803) 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, 390783 + ... + 393441.

It is an arithmetic number, because the mean of its divisors is an integer number (27871480).

Almost surely, 21042625808 is an apocalyptic number.

1042625808 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 1042625808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672288800).

1042625808 is an abundant number, since it is smaller than the sum of its proper divisors (2301951792).

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

1042625808 is a wasteful number, since it uses less digits than its factorization.

1042625808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3060 counting only the distinct ones).

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

The square root of 1042625808 is about 32289.7167531708. The cubic root of 1042625808 is about 1014.0113673550.

The spelling of 1042625808 in words is "one billion, forty-two million, six hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 389 504 778 1008 1167 1556 2334 2659 2723 3112 3501 4668 5318 5446 6224 7002 7977 8169 9336 10636 10892 14004 15954 16338 18613 18672 21272 21784 23931 24507 28008 31908 32676 37226 42544 43568 47862 49014 55839 56016 63816 65352 74452 95724 98028 111678 127632 130704 148904 167517 191448 196056 223356 297808 335034 382896 392112 446712 670068 893424 1034351 1340136 2068702 2680272 3103053 4137404 6206106 7240457 8274808 9309159 12412212 14480914 16549616 18618318 21721371 24824424 28961828 37236636 43442742 49648848 57923656 65164113 74473272 86885484 115847312 130328226 148946544 173770968 260656452 347541936 521312904 1042625808