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5084723808 = 25346132159
BaseRepresentation
bin1001011110001001…
…01011101001100000
3111010100210201210000
410233010223221200
540403142130213
62200315140000
7240001303443
oct45704535140
914110721700
105084723808
11217a21528a
12b9aa44600
13630584118
1436343765a
151eb5dec73
hex12f12ba60

5084723808 has 120 divisors (see below), whose sum is σ = 15199652160. Its totient is φ = 1667070720.

The previous prime is 5084723807. The next prime is 5084723821. The reversal of 5084723808 is 8083274805.

5084723808 is a `hidden beast` number, since 508 + 47 + 23 + 80 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084723807) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142033 + ... + 174191.

It is an arithmetic number, because the mean of its divisors is an integer number (126663768).

Almost surely, 25084723808 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 5084723808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599826080).

5084723808 is an abundant number, since it is smaller than the sum of its proper divisors (10114928352).

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

5084723808 is a wasteful number, since it uses less digits than its factorization.

5084723808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32242 (or 32225 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5084723808 is about 71307.2493369363. The cubic root of 5084723808 is about 1719.5802797754.

The spelling of 5084723808 in words is "five billion, eighty-four million, seven hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 81 96 108 122 144 162 183 216 244 288 324 366 432 488 549 648 732 864 976 1098 1296 1464 1647 1952 2196 2592 2928 3294 4392 4941 5856 6588 8784 9882 13176 17568 19764 26352 32159 39528 52704 64318 79056 96477 128636 158112 192954 257272 289431 385908 514544 578862 771816 868293 1029088 1157724 1543632 1736586 1961699 2315448 2604879 3087264 3473172 3923398 4630896 5209758 5885097 6946344 7846796 9261792 10419516 11770194 13892688 15693592 17655291 20839032 23540388 27785376 31387184 35310582 41678064 47080776 52965873 62774368 70621164 83356128 94161552 105931746 141242328 158897619 188323104 211863492 282484656 317795238 423726984 564969312 635590476 847453968 1271180952 1694907936 2542361904 5084723808