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5305712 = 241931563
BaseRepresentation
bin10100001111010101110000
3100222120001212
4110033111300
52324240322
6305415252
763045356
oct24172560
910876055
105305712
112aa4295
12193a528
131139c99
149c17d6
156ec0e2
hex50f570

5305712 has 40 divisors (see below), whose sum is σ = 11189760. Its totient is φ = 2427840.

The previous prime is 5305697. The next prime is 5305721. The reversal of 5305712 is 2175035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9143 + ... + 9705.

It is an arithmetic number, because the mean of its divisors is an integer number (279744).

Almost surely, 25305712 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 5305712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594880).

5305712 is an abundant number, since it is smaller than the sum of its proper divisors (5884048).

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

5305712 is a wasteful number, since it uses less digits than its factorization.

5305712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 5305712 is about 2303.4131196987. The cubic root of 5305712 is about 174.4139525352.

The spelling of 5305712 in words is "five million, three hundred five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 563 589 1126 1178 2252 2356 4504 4712 9008 9424 10697 17453 21394 34906 42788 69812 85576 139624 171152 279248 331607 663214 1326428 2652856 5305712