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5117456 = 242941269
BaseRepresentation
bin10011100001011000010000
3100121222211102
4103201120100
52302224311
6301403532
761332461
oct23413020
910558742
105117456
112985903
1218695a8
1310a23a6
14972d68
156b143b
hex4e1610

5117456 has 40 divisors (see below), whose sum is σ = 10546200. Its totient is φ = 2401280.

The previous prime is 5117419. The next prime is 5117471. The reversal of 5117456 is 6547115.

It can be written as a sum of positive squares in 4 ways, for example, as 99856 + 5017600 = 316^2 + 2240^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18890 + ... + 19158.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

Almost surely, 25117456 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 5117456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273100).

5117456 is an abundant number, since it is smaller than the sum of its proper divisors (5428744).

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

5117456 is a wasteful number, since it uses less digits than its factorization.

5117456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its digits is 4200, while the sum is 29.

The square root of 5117456 is about 2262.1794800590. The cubic root of 5117456 is about 172.3262242136.

The spelling of 5117456 in words is "five million, one hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 269 328 464 538 656 1076 1189 2152 2378 4304 4756 7801 9512 11029 15602 19024 22058 31204 44116 62408 88232 124816 176464 319841 639682 1279364 2558728 5117456