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5271616 = 2672412
BaseRepresentation
bin10100000111000001000000
3100220211022001
4110013001000
52322142431
6304553344
762544100
oct24070100
910824261
105271616
112a80709
121922854
1311275cc
149b3200
156e1e61
hex507040

5271616 has 63 divisors (see below), whose sum is σ = 12472797. Its totient is φ = 2204160.

The previous prime is 5271613. The next prime is 5271619. The reversal of 5271616 is 6161725.

The square root of 5271616 is 2296.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5271613) and next prime (5271619).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 5017600 = 504^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5271613) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128556 + ... + 128596.

Almost surely, 25271616 is an apocalyptic number.

5271616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5271616 is the 2296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271616

5271616 is an abundant number, since it is smaller than the sum of its proper divisors (7201181).

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

5271616 is an equidigital number, since it uses as much as digits as its factorization.

5271616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its digits is 2520, while the sum is 28.

The cubic root of 5271616 is about 174.0395382911.

The spelling of 5271616 in words is "five million, two hundred seventy-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 196 224 287 328 392 448 574 656 784 1148 1312 1568 1681 2009 2296 2624 3136 3362 4018 4592 6724 8036 9184 11767 13448 16072 18368 23534 26896 32144 47068 53792 64288 82369 94136 107584 128576 164738 188272 329476 376544 658952 753088 1317904 2635808 5271616