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5077135 = 572172353
BaseRepresentation
bin10011010111100010001111
3100112221112001
4103113202033
52244432020
6300453131
761104100
oct23274217
910487461
105077135
112958588
12184a1a7
131089c2b
149623a7
156a450a
hex4d788f

5077135 has 48 divisors (see below), whose sum is σ = 7978176. Its totient is φ = 3075072.

The previous prime is 5077129. The next prime is 5077151. The reversal of 5077135 is 5317705.

It is a de Polignac number, because none of the positive numbers 2k-5077135 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95769 + ... + 95821.

It is an arithmetic number, because the mean of its divisors is an integer number (166212).

Almost surely, 25077135 is an apocalyptic number.

5077135 is the 1127-th decagonal number.

5077135 is a deficient number, since it is larger than the sum of its proper divisors (2901041).

5077135 is a wasteful number, since it uses less digits than its factorization.

5077135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 28.

The square root of 5077135 is about 2253.2498751803. The cubic root of 5077135 is about 171.8724378681.

The spelling of 5077135 in words is "five million, seventy-seven thousand, one hundred thirty-five".

Divisors: 1 5 7 17 23 35 49 53 85 115 119 161 245 265 371 391 595 805 833 901 1127 1219 1855 1955 2597 2737 4165 4505 5635 6095 6307 8533 12985 13685 19159 20723 31535 42665 44149 59731 95795 103615 145061 220745 298655 725305 1015427 5077135