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5171656 = 237279167
BaseRepresentation
bin10011101110100111001000
3100201202011211
4103232213020
52310443111
6302502504
761646500
oct23564710
910652154
105171656
112a125a6
121894a34
1310c0c69
14988a00
156c2521
hex4ee9c8

5171656 has 48 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 2175264.

The previous prime is 5171633. The next prime is 5171659. The reversal of 5171656 is 6561715.

5171656 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5171656 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30885 + ... + 31051.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 25171656 is an apocalyptic number.

5171656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5171656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

5171656 is an abundant number, since it is smaller than the sum of its proper divisors (6319544).

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

5171656 is a wasteful number, since it uses less digits than its factorization.

5171656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its digits is 6300, while the sum is 31.

The square root of 5171656 is about 2274.1275250082. The cubic root of 5171656 is about 172.9324694385.

It can be divided in two parts, 51 and 71656, that multiplied together give a triangular number (3654456 = T2703).

The spelling of 5171656 in words is "five million, one hundred seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 79 98 158 167 196 316 334 392 553 632 668 1106 1169 1336 2212 2338 3871 4424 4676 7742 8183 9352 13193 15484 16366 26386 30968 32732 52772 65464 92351 105544 184702 369404 646457 738808 1292914 2585828 5171656