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5040332000 = 255311114553
BaseRepresentation
bin1001011000110110…
…10101110011100000
3111000021021101122222
410230123111303200
540310311111000
62152051450212
7235622054324
oct45433256340
914007241588
105040332000
112157155040
12b87bb6968
13624310592
1435b59d984
151e7771a85
hex12c6d5ce0

5040332000 has 96 divisors (see below), whose sum is σ = 13510040544. Its totient is φ = 1832832000.

The previous prime is 5040331997. The next prime is 5040332021. The reversal of 5040332000 is 2330405.

It is a self number, because there is not a number n which added to its sum of digits gives 5040332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13277 + ... + 101276.

It is an arithmetic number, because the mean of its divisors is an integer number (140729589).

Almost surely, 25040332000 is an apocalyptic number.

5040332000 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 5040332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755020272).

5040332000 is an abundant number, since it is smaller than the sum of its proper divisors (8469708544).

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

5040332000 is a wasteful number, since it uses less digits than its factorization.

5040332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114589 (or 114571 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 5040332000 is about 70995.2956187943. The cubic root of 5040332000 is about 1714.5614225867.

Adding to 5040332000 its reverse (2330405), we get a palindrome (5042662405).

The spelling of 5040332000 in words is "five billion, forty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 114553 229106 458212 572765 916424 1145530 1260083 1832848 2291060 2520166 2863825 3665696 4582120 5040332 5727650 6300415 9164240 10080664 11455300 12600830 14319125 18328480 20161328 22910600 25201660 28638250 31502075 40322656 45821200 50403320 57276500 63004150 91642400 100806640 114553000 126008300 157510375 201613280 229106000 252016600 315020750 458212000 504033200 630041500 1008066400 1260083000 2520166000 5040332000