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4858192 = 241753337
BaseRepresentation
bin10010100010000101010000
3100010211012001
4102202011100
52220430232
6252043344
756202553
oct22420520
910124161
104858192
112819039
121763554
131011391
1490669a
1565e6e7
hex4a2150

4858192 has 40 divisors (see below), whose sum is σ = 10184616. Its totient is φ = 2236416.

The previous prime is 4858177. The next prime is 4858193. The reversal of 4858192 is 2918584.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 3594816 = 1124^2 + 1896^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4858193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14248 + ... + 14584.

Almost surely, 24858192 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 4858192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092308).

4858192 is an abundant number, since it is smaller than the sum of its proper divisors (5326424).

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

4858192 is a wasteful number, since it uses less digits than its factorization.

4858192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 4858192 is about 2204.1306676329. The cubic root of 4858192 is about 169.3654777397.

It can be divided in two parts, 4858 and 192, that added together give a triangular number (5050 = T100).

The spelling of 4858192 in words is "four million, eight hundred fifty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 337 424 674 848 901 1348 1802 2696 3604 5392 5729 7208 11458 14416 17861 22916 35722 45832 71444 91664 142888 285776 303637 607274 1214548 2429096 4858192