Search a number
-
+
5046600 = 2335213647
BaseRepresentation
bin10011010000000101001000
3100111101122010
4103100011020
52242442400
6300055520
760616056
oct23200510
910441563
105046600
112937649
1218345a0
131079070
149551d6
1569a450
hex4d0148

5046600 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1240320.

The previous prime is 5046589. The next prime is 5046611. The reversal of 5046600 is 66405.

It is an interprime number because it is at equal distance from previous prime (5046589) and next prime (5046611).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7477 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 25046600 is an apocalyptic number.

5046600 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 5046600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5046600 is an abundant number, since it is smaller than the sum of its proper divisors (11827320).

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

5046600 is a wasteful number, since it uses less digits than its factorization.

5046600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5046600 is about 2246.4638879804. The cubic root of 5046600 is about 171.5271853252.

It can be divided in two parts, 5046 and 600, that multiplied together give a square (3027600 = 17402).

The spelling of 5046600 in words is "five million, forty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 647 650 780 975 1294 1300 1560 1941 1950 2588 2600 3235 3882 3900 5176 6470 7764 7800 8411 9705 12940 15528 16175 16822 19410 25233 25880 32350 33644 38820 42055 48525 50466 64700 67288 77640 84110 97050 100932 126165 129400 168220 194100 201864 210275 252330 336440 388200 420550 504660 630825 841100 1009320 1261650 1682200 2523300 5046600