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5204858076 = 22321129771223
BaseRepresentation
bin1001101100011101…
…11101010011011100
3111102201212012000100
410312032331103130
541124420424301
62220250101100
7242660364225
oct46616752334
914381765010
105204858076
112231008a00
12101311a790
1364c4271a2
1437538a24c
15206e20286
hex1363bd4dc

5204858076 has 108 divisors (see below), whose sum is σ = 14488162416. Its totient is φ = 1574327040.

The previous prime is 5204858059. The next prime is 5204858101. The reversal of 5204858076 is 6708584025.

5204858076 is a `hidden beast` number, since 5 + 20 + 48 + 580 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4255201 + ... + 4256423.

It is an arithmetic number, because the mean of its divisors is an integer number (134149652).

Almost surely, 25204858076 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 5204858076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244081208).

5204858076 is an abundant number, since it is smaller than the sum of its proper divisors (9283304340).

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

5204858076 is a wasteful number, since it uses less digits than its factorization.

5204858076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5204858076 is about 72144.7023418906. The cubic root of 5204858076 is about 1733.0175626784.

The spelling of 5204858076 in words is "five billion, two hundred four million, eight hundred fifty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 977 1089 1223 1452 1954 2178 2446 2931 3669 3908 4356 4892 5862 7338 8793 10747 11007 11724 13453 14676 17586 21494 22014 26906 32241 35172 40359 42988 44028 53812 64482 80718 96723 118217 121077 128964 147983 161436 193446 236434 242154 295966 354651 386892 443949 472868 484308 591932 709302 887898 1063953 1194871 1331847 1418604 1775796 2127906 2389742 2663694 3584613 4255812 4779484 5327388 7169226 10753839 13143581 14338452 21507678 26287162 39430743 43015356 52574324 78861486 118292229 144579391 157722972 236584458 289158782 433738173 473168916 578317564 867476346 1301214519 1734952692 2602429038 5204858076