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1022126808 = 233232967953
BaseRepresentation
bin111100111011000…
…110101011011000
32122020022102101110
4330323012223120
54043131024213
6245231420320
734220635353
oct7473065330
92566272343
101022126808
11484a66aaa
122463846a0
131339b6681
1499a6b29a
155eb025c3
hex3cec6ad8

1022126808 has 128 divisors (see below), whose sum is σ = 2802470400. Its totient is φ = 309636096.

The previous prime is 1022126803. The next prime is 1022126849. The reversal of 1022126808 is 8086212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022126803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072060 + ... + 1073012.

It is an arithmetic number, because the mean of its divisors is an integer number (21894300).

Almost surely, 21022126808 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 1022126808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401235200).

1022126808 is an abundant number, since it is smaller than the sum of its proper divisors (1780343592).

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

1022126808 is a wasteful number, since it uses less digits than its factorization.

1022126808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1022126808 is about 31970.7179775494. The cubic root of 1022126808 is about 1007.3218621603.

The spelling of 1022126808 in words is "one billion, twenty-two million, one hundred twenty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 67 69 87 92 116 134 138 174 184 201 232 268 276 348 402 536 552 667 696 804 953 1334 1541 1608 1906 1943 2001 2668 2859 3082 3812 3886 4002 4623 5336 5718 5829 6164 7624 7772 8004 9246 11436 11658 12328 15544 16008 18492 21919 22872 23316 27637 36984 43838 44689 46632 55274 63851 65757 82911 87676 89378 110548 127702 131514 134067 165822 175352 178756 191553 221096 255404 263028 268134 331644 357512 383106 510808 526056 536268 635651 663288 766212 1072536 1271302 1468573 1532424 1851679 1906953 2542604 2937146 3703358 3813906 4405719 5085208 5555037 5874292 7406716 7627812 8811438 11110074 11748584 14813432 15255624 17622876 22220148 35245752 42588617 44440296 85177234 127765851 170354468 255531702 340708936 511063404 1022126808