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5876500 = 225372373
BaseRepresentation
bin10110011010101100010100
3102001120001011
4112122230110
53001022000
6325542004
7100643440
oct26325424
912046034
105876500
113354113
121b74904
1312a9a26
14acd820
157b12ba
hex59ab14

5876500 has 96 divisors (see below), whose sum is σ = 15515136. Its totient is φ = 1900800.

The previous prime is 5876447. The next prime is 5876501. The reversal of 5876500 is 56785.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5876501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80464 + ... + 80536.

It is an arithmetic number, because the mean of its divisors is an integer number (161616).

Almost surely, 25876500 is an apocalyptic number.

5876500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757568).

5876500 is an abundant number, since it is smaller than the sum of its proper divisors (9638636).

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

5876500 is a wasteful number, since it uses less digits than its factorization.

5876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 5876500 is about 2424.1493353339. The cubic root of 5876500 is about 180.4566594069.

The spelling of 5876500 in words is "five million, eight hundred seventy-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 73 92 100 115 125 140 146 161 175 230 250 292 322 350 365 460 500 511 575 644 700 730 805 875 1022 1150 1460 1610 1679 1750 1825 2044 2300 2555 2875 3220 3358 3500 3650 4025 5110 5750 6716 7300 8050 8395 9125 10220 11500 11753 12775 16100 16790 18250 20125 23506 25550 33580 36500 40250 41975 47012 51100 58765 63875 80500 83950 117530 127750 167900 209875 235060 255500 293825 419750 587650 839500 1175300 1469125 2938250 5876500