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4100422056 = 2332913743003
BaseRepresentation
bin1111010001100111…
…0111100110101000
3101120202200000121120
43310121313212220
531344202001211
61514514135240
7203420004153
oct36431674650
911522600546
104100422056
111814643865
12965281520
13504682353
142ac814c9a
1518eeaed06
hexf46779a8

4100422056 has 64 divisors (see below), whose sum is σ = 10682193600. Its totient is φ = 1310012928.

The previous prime is 4100422031. The next prime is 4100422057. The reversal of 4100422056 is 6502240014.

It is a super-2 number, since 2×41004220562 = 33626922074662534272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4100422057) 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, 73851 + ... + 116853.

It is an arithmetic number, because the mean of its divisors is an integer number (166909275).

Almost surely, 24100422056 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 4100422056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341096800).

4100422056 is an abundant number, since it is smaller than the sum of its proper divisors (6581771544).

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

4100422056 is a wasteful number, since it uses less digits than its factorization.

4100422056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43178 (or 43174 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4100422056 is about 64034.5379931799. The cubic root of 4100422056 is about 1600.5755814581.

The spelling of 4100422056 in words is "four billion, one hundred million, four hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 137 174 232 274 348 411 548 696 822 1096 1644 3288 3973 7946 11919 15892 23838 31784 43003 47676 86006 95352 129009 172012 258018 344024 516036 1032072 1247087 2494174 3741261 4988348 5891411 7482522 9976696 11782822 14965044 17674233 23565644 29930088 35348466 47131288 70696932 141393864 170850919 341701838 512552757 683403676 1025105514 1366807352 2050211028 4100422056