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5135784 = 2332947157
BaseRepresentation
bin10011100101110110101000
3100122220222020
4103211312220
52303321114
6302024440
761440063
oct23456650
910586866
105135784
112998655
121878120
1310aa834
149798da
156b6aa9
hex4e5da8

5135784 has 64 divisors (see below), whose sum is σ = 13651200. Its totient is φ = 1607424.

The previous prime is 5135761. The next prime is 5135789. The reversal of 5135784 is 4875315.

It is not an unprimeable number, because it can be changed into a prime (5135789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32634 + ... + 32790.

It is an arithmetic number, because the mean of its divisors is an integer number (213300).

Almost surely, 25135784 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 5135784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825600).

5135784 is an abundant number, since it is smaller than the sum of its proper divisors (8515416).

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

5135784 is a wasteful number, since it uses less digits than its factorization.

5135784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 5135784 is about 2266.2268200690. The cubic root of 5135784 is about 172.5317059972.

The spelling of 5135784 in words is "five million, one hundred thirty-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 157 174 188 232 282 314 348 376 471 564 628 696 942 1128 1256 1363 1884 2726 3768 4089 4553 5452 7379 8178 9106 10904 13659 14758 16356 18212 22137 27318 29516 32712 36424 44274 54636 59032 88548 109272 177096 213991 427982 641973 855964 1283946 1711928 2567892 5135784