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5005275800 = 235275936029
BaseRepresentation
bin1001010100101011…
…00111001010011000
3110220211022100121012
410222111213022120
540222322311200
62144400233052
7235015066550
oct45225471230
913824270535
105005275800
112139390878
12b7830b788
13619c88075
14356a76160
151e4649a35
hex12a567298

5005275800 has 96 divisors (see below), whose sum is σ = 13324370400. Its totient is φ = 1712916480.

The previous prime is 5005275799. The next prime is 5005275829. The reversal of 5005275800 is 85725005.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827186 + ... + 833214.

It is an arithmetic number, because the mean of its divisors is an integer number (138795525).

Almost surely, 25005275800 is an apocalyptic number.

5005275800 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 5005275800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662185200).

5005275800 is an abundant number, since it is smaller than the sum of its proper divisors (8319094600).

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

5005275800 is a wasteful number, since it uses less digits than its factorization.

5005275800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 5005275800 is about 70747.9738225767. The cubic root of 5005275800 is about 1710.5771680047.

The spelling of 5005275800 in words is "five billion, five million, two hundred seventy-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 593 700 1186 1400 2372 2965 4151 4744 5930 6029 8302 11860 12058 14825 16604 20755 23720 24116 29650 30145 33208 41510 42203 48232 59300 60290 83020 84406 103775 118600 120580 150725 166040 168812 207550 211015 241160 301450 337624 415100 422030 602900 830200 844060 1055075 1205800 1688120 2110150 3575197 4220300 7150394 8440600 14300788 17875985 25026379 28601576 35751970 50052758 71503940 89379925 100105516 125131895 143007880 178759850 200211032 250263790 357519700 500527580 625659475 715039400 1001055160 1251318950 2502637900 5005275800