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5117976 = 2332312293
BaseRepresentation
bin10011100001100000011000
3100122000112200
4103201200120
52302233401
6301410200
761334133
oct23414030
910560480
105117976
112986236
121869960
1310a26b6
1497321a
156b1686
hex4e1818

5117976 has 48 divisors (see below), whose sum is σ = 14314560. Its totient is φ = 1650240.

The previous prime is 5117953. The next prime is 5117977. The reversal of 5117976 is 6797115.

5117976 is a `hidden beast` number, since 511 + 79 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5117976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5117977) 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, 1086 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (298220).

Almost surely, 25117976 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 5117976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7157280).

5117976 is an abundant number, since it is smaller than the sum of its proper divisors (9196584).

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

5117976 is a wasteful number, since it uses less digits than its factorization.

5117976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2329 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 5117976 is about 2262.2944105487. The cubic root of 5117976 is about 172.3320608768.

Adding to 5117976 its product of digits (13230), we get a triangular number (5131206 = T3203).

The spelling of 5117976 in words is "five million, one hundred seventeen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2293 4586 6879 9172 13758 18344 20637 27516 41274 55032 71083 82548 142166 165096 213249 284332 426498 568664 639747 852996 1279494 1705992 2558988 5117976