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5306016 = 253192909
BaseRepresentation
bin10100001111011010100000
3100222120111010
4110033122200
52324243031
6305420520
763046302
oct24173240
910876433
105306016
112aa4541
12193a740
13113a171
149c1972
156ec246
hex50f6a0

5306016 has 48 divisors (see below), whose sum is σ = 14666400. Its totient is φ = 1675008.

The previous prime is 5306009. The next prime is 5306033. The reversal of 5306016 is 6106035.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 5305983 and 5306001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 370 + ... + 3278.

It is an arithmetic number, because the mean of its divisors is an integer number (305550).

Almost surely, 25306016 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 5306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7333200).

5306016 is an abundant number, since it is smaller than the sum of its proper divisors (9360384).

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

5306016 is a wasteful number, since it uses less digits than its factorization.

5306016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5306016 is about 2303.4791077846. The cubic root of 5306016 is about 174.4172835885.

The spelling of 5306016 in words is "five million, three hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2909 5818 8727 11636 17454 23272 34908 46544 55271 69816 93088 110542 139632 165813 221084 279264 331626 442168 663252 884336 1326504 1768672 2653008 5306016