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5857248 = 253173797
BaseRepresentation
bin10110010101111111100000
3102000120122010
4112111333200
52444412443
6325312520
7100533345
oct26257740
912016563
105857248
113340701
121b65740
1312a1037
14ac67cc
157aa733
hex595fe0

5857248 has 96 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 1769472.

The previous prime is 5857237. The next prime is 5857259. The reversal of 5857248 is 8427585.

It is an interprime number because it is at equal distance from previous prime (5857237) and next prime (5857259).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 60336 + ... + 60432.

It is an arithmetic number, because the mean of its divisors is an integer number (175959).

Almost surely, 25857248 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 5857248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

5857248 is an abundant number, since it is smaller than the sum of its proper divisors (11034816).

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

5857248 is a wasteful number, since it uses less digits than its factorization.

5857248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 5857248 is about 2420.1752002696. The cubic root of 5857248 is about 180.2593791428.

It can be divided in two parts, 5857 and 248, that added together give a triangular number (6105 = T110).

The spelling of 5857248 in words is "five million, eight hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 68 74 96 97 102 111 136 148 194 204 222 272 291 296 388 408 444 544 582 592 629 776 816 888 1164 1184 1258 1552 1632 1649 1776 1887 2328 2516 3104 3298 3552 3589 3774 4656 4947 5032 6596 7178 7548 9312 9894 10064 10767 13192 14356 15096 19788 20128 21534 26384 28712 30192 39576 43068 52768 57424 60384 61013 79152 86136 114848 122026 158304 172272 183039 244052 344544 366078 488104 732156 976208 1464312 1952416 2928624 5857248