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5005455252 = 223731916367
BaseRepresentation
bin1001010100101100…
…10010111110010100
3110220211122110202120
410222112102332110
540222344032002
62144404135540
7235016445000
oct45226227624
913824573676
105005455252
1121394a3686
12b783975b0
1361a01b955
14356ac1700
151e4682cbc
hex12a592f94

5005455252 has 96 divisors (see below), whose sum is σ = 13693747200. Its totient is φ = 1422419040.

The previous prime is 5005455233. The next prime is 5005455253. The reversal of 5005455252 is 2525545005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005455253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 782973 + ... + 789339.

It is an arithmetic number, because the mean of its divisors is an integer number (142643200).

Almost surely, 25005455252 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 5005455252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6846873600).

5005455252 is an abundant number, since it is smaller than the sum of its proper divisors (8688291948).

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

5005455252 is a wasteful number, since it uses less digits than its factorization.

5005455252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 33.

The square root of 5005455252 is about 70749.2420595444. The cubic root of 5005455252 is about 1710.5976106228.

The spelling of 5005455252 in words is "five billion, five million, four hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 343 382 573 588 686 764 1029 1146 1337 1372 2058 2292 2674 4011 4116 5348 6367 8022 9359 12734 16044 18718 19101 25468 28077 37436 38202 44569 56154 65513 76404 89138 112308 131026 133707 178276 196539 262052 267414 311983 393078 534828 623966 786156 935949 1216097 1247932 1871898 2183881 2432194 3648291 3743796 4367762 4864388 6551643 7296582 8512679 8735524 13103286 14593164 17025358 25538037 26206572 34050716 51076074 59588753 102152148 119177506 178766259 238355012 357532518 417121271 715065036 834242542 1251363813 1668485084 2502727626 5005455252