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4412201056 = 252946710181
BaseRepresentation
bin1000001101111110…
…01101100001100000
3102101111100000222221
410012333031201200
533014010413211
62005452440424
7214224042634
oct40677154140
912344300887
104412201056
111964632a5a
12a31779114
13554145673
142dbdb2dc4
151ac548c71
hex106fcd860

4412201056 has 48 divisors (see below), whose sum is σ = 9006182640. Its totient is φ = 2125258240.

The previous prime is 4412201011. The next prime is 4412201089. The reversal of 4412201056 is 6501022144.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4412201056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428286 + ... + 438466.

It is an arithmetic number, because the mean of its divisors is an integer number (187628805).

Almost surely, 24412201056 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 4412201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503091320).

4412201056 is an abundant number, since it is smaller than the sum of its proper divisors (4593981584).

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

4412201056 is a wasteful number, since it uses less digits than its factorization.

4412201056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4412201056 is about 66424.4010586471. The cubic root of 4412201056 is about 1640.1557773900.

The spelling of 4412201056 in words is "four billion, four hundred twelve million, two hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 467 928 934 1868 3736 7472 10181 13543 14944 20362 27086 40724 54172 81448 108344 162896 216688 295249 325792 433376 590498 1180996 2361992 4723984 4754527 9447968 9509054 19018108 38036216 76072432 137881283 152144864 275762566 551525132 1103050264 2206100528 4412201056