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5314816 = 28131597
BaseRepresentation
bin10100010001100100000000
3101000000120001
4110101210000
52330033231
6305525344
763114043
oct24214400
911000501
105314816
113000111
121943854
131141180
149c4c5a
156eeb61
hex511900

5314816 has 36 divisors (see below), whose sum is σ = 11432092. Its totient is φ = 2451456.

The previous prime is 5314811. The next prime is 5314819. The reversal of 5314816 is 6184135.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 4393216 = 960^2 + 2096^2 .

It is a super-2 number, since 2×53148162 = 56494538227712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2530 + ... + 4126.

Almost surely, 25314816 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 5314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716046).

5314816 is an abundant number, since it is smaller than the sum of its proper divisors (6117276).

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

5314816 is a wasteful number, since it uses less digits than its factorization.

5314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1612 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 5314816 is about 2305.3884705186. The cubic root of 5314816 is about 174.5136537183.

It can be divided in two parts, 5 and 314816, that added together give a triangular number (314821 = T793).

The spelling of 5314816 in words is "five million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1597 1664 3194 3328 6388 12776 20761 25552 41522 51104 83044 102208 166088 204416 332176 408832 664352 1328704 2657408 5314816