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5221610576 = 247132733779
BaseRepresentation
bin1001101110011101…
…10111010001010000
3111110220101022010022
410313032313101100
541143213014301
62222045123012
7243252646310
oct46716672120
914426338108
105221610576
11223a510346
121018859468
13652a41400
143776ab440
1520862dd1b
hex1373b7450

5221610576 has 120 divisors (see below), whose sum is σ = 12694812480. Its totient is φ = 2036855808.

The previous prime is 5221610539. The next prime is 5221610579. The reversal of 5221610576 is 6750161225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5221610579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379855 + ... + 1383633.

It is an arithmetic number, because the mean of its divisors is an integer number (105790104).

Almost surely, 25221610576 is an apocalyptic number.

5221610576 is a gapful number since it is divisible by the number (56) 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 5221610576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347406240).

5221610576 is an abundant number, since it is smaller than the sum of its proper divisors (7473201904).

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

5221610576 is a wasteful number, since it uses less digits than its factorization.

5221610576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 5221610576 is about 72260.7125345440. The cubic root of 5221610576 is about 1734.8748841613.

The spelling of 5221610576 in words is "five billion, two hundred twenty-one million, six hundred ten thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 169 182 208 292 338 364 511 584 676 728 949 1022 1168 1183 1352 1456 1898 2044 2366 2704 3779 3796 4088 4732 6643 7558 7592 8176 9464 12337 13286 15116 15184 18928 24674 26453 26572 30232 49127 49348 52906 53144 60464 86359 98254 98696 105812 106288 172718 196508 197392 211624 275867 343889 345436 393016 423248 551734 638651 687778 690872 786032 1103468 1277302 1375556 1381744 1931069 2206936 2554604 2751112 3586271 3862138 4413872 4470557 5109208 5502224 7172542 7724276 8941114 10218416 14345084 15448552 17882228 25103897 28690168 30897104 35764456 46621523 50207794 57380336 71528912 93243046 100415588 186486092 200831176 326350661 372972184 401662352 652701322 745944368 1305402644 2610805288 5221610576