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4055564624 = 242938922469
BaseRepresentation
bin1111000110111011…
…0000000101010000
3101110122021000210012
43301232300011100
531301211031444
61510232454052
7202333505366
oct36156600520
911418230705
104055564624
1117a1295801
1295224a328
134c82a78a7
142a6899636
1518b09db9e
hexf1bb0150

4055564624 has 40 divisors (see below), whose sum is σ = 8149869000. Its totient is φ = 1952738816.

The previous prime is 4055564531. The next prime is 4055564647. The reversal of 4055564624 is 4264655504.

It can be written as a sum of positive squares in 4 ways, for example, as 621604624 + 3433960000 = 24932^2 + 58600^2 .

It is a super-2 number, since 2×40555646242 = 32895208838880522752, which contains 22 as substring.

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, 169262 + ... + 191730.

It is an arithmetic number, because the mean of its divisors is an integer number (203746725).

Almost surely, 24055564624 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 4055564624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074934500).

4055564624 is an abundant number, since it is smaller than the sum of its proper divisors (4094304376).

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

4055564624 is a wasteful number, since it uses less digits than its factorization.

4055564624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22895 (or 22889 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 41.

The square root of 4055564624 is about 63683.3151147143. The cubic root of 4055564624 is about 1594.7175561432.

The spelling of 4055564624 in words is "four billion, fifty-five million, five hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 389 464 778 1556 3112 6224 11281 22469 22562 44938 45124 89876 90248 179752 180496 359504 651601 1303202 2606404 5212808 8740441 10425616 17480882 34961764 69923528 139847056 253472789 506945578 1013891156 2027782312 4055564624