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5785339872 = 253135978571
BaseRepresentation
bin1010110001101010…
…10100011111100000
3112221012010201100010
411120311110133200
543322021333442
62354023524520
7263236402044
oct53065243740
915835121303
105785339872
1124a9745524
1211555b9740
1371277aa40
143cc4d2024
1523cd84b9c
hex158d547e0

5785339872 has 96 divisors (see below), whose sum is σ = 16632120960. Its totient is φ = 1749911040.

The previous prime is 5785339867. The next prime is 5785339907. The reversal of 5785339872 is 2789335875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34347 + ... + 112917.

It is an arithmetic number, because the mean of its divisors is an integer number (173251260).

Almost surely, 25785339872 is an apocalyptic number.

5785339872 is a gapful number since it is divisible by the number (52) 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 5785339872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316060480).

5785339872 is an abundant number, since it is smaller than the sum of its proper divisors (10846781088).

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

5785339872 is a wasteful number, since it uses less digits than its factorization.

5785339872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78656 (or 78648 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 57.

The square root of 5785339872 is about 76061.4217064078. The cubic root of 5785339872 is about 1795.1867158342.

The spelling of 5785339872 in words is "five billion, seven hundred eighty-five million, three hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 354 416 472 624 708 767 944 1248 1416 1534 1888 2301 2832 3068 4602 5664 6136 9204 12272 18408 24544 36816 73632 78571 157142 235713 314284 471426 628568 942852 1021423 1257136 1885704 2042846 2514272 3064269 3771408 4085692 4635689 6128538 7542816 8171384 9271378 12257076 13907067 16342768 18542756 24514152 27814134 32685536 37085512 49028304 55628268 60263957 74171024 98056608 111256536 120527914 148342048 180791871 222513072 241055828 361583742 445026144 482111656 723167484 964223312 1446334968 1928446624 2892669936 5785339872