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5058786800 = 245228145007
BaseRepresentation
bin1001011011000011…
…01111010111110000
3111001112222222220002
410231201233113300
540330022134200
62153551205132
7236234656364
oct45541572760
914045888802
105058786800
11216660a441
12b922167a8
136280a2592
1435dc052a4
151e91b9bd5
hex12d86f5f0

5058786800 has 60 divisors (see below), whose sum is σ = 12197258016. Its totient is φ = 2016268800.

The previous prime is 5058786797. The next prime is 5058786839. The reversal of 5058786800 is 86878505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89897 + ... + 134903.

Almost surely, 25058786800 is an apocalyptic number.

5058786800 is a gapful number since it is divisible by the number (50) 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 5058786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098629008).

5058786800 is an abundant number, since it is smaller than the sum of its proper divisors (7138471216).

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

5058786800 is a wasteful number, since it uses less digits than its factorization.

5058786800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45306 (or 45295 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The square root of 5058786800 is about 71125.1488574892. The cubic root of 5058786800 is about 1716.6514534528.

The spelling of 5058786800 in words is "five billion, fifty-eight million, seven hundred eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 281 400 562 1124 1405 2248 2810 4496 5620 7025 11240 14050 22480 28100 45007 56200 90014 112400 180028 225035 360056 450070 720112 900140 1125175 1800280 2250350 3600560 4500700 9001400 12646967 18002800 25293934 50587868 63234835 101175736 126469670 202351472 252939340 316174175 505878680 632348350 1011757360 1264696700 2529393400 5058786800