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5165712 = 2432291237
BaseRepresentation
bin10011101101001010010000
3100201110000200
4103231022100
52310300322
6302415200
761623246
oct23551220
910643020
105165712
112a09092
121891500
1310bb346
14986796
156c08ac
hex4ed290

5165712 has 60 divisors (see below), whose sum is σ = 14967420. Its totient is φ = 1661184.

The previous prime is 5165711. The next prime is 5165717. The reversal of 5165712 is 2175615.

5165712 is a `hidden beast` number, since 5 + 1 + 657 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 1838736 = 1824^2 + 1356^2 .

It is not an unprimeable number, because it can be changed into a prime (5165711) 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, 3558 + ... + 4794.

It is an arithmetic number, because the mean of its divisors is an integer number (249457).

Almost surely, 25165712 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 5165712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483710).

5165712 is an abundant number, since it is smaller than the sum of its proper divisors (9801708).

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

5165712 is a wasteful number, since it uses less digits than its factorization.

5165712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1271 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5165712 is about 2272.8202744608. The cubic root of 5165712 is about 172.8661912059.

The spelling of 5165712 in words is "five million, one hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1237 1392 2088 2474 3711 4176 4948 7422 9896 11133 14844 19792 22266 29688 35873 44532 59376 71746 89064 107619 143492 178128 215238 286984 322857 430476 573968 645714 860952 1291428 1721904 2582856 5165712