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5035500 = 223353373
BaseRepresentation
bin10011001101010111101100
3100110211102000
4103031113230
52242114000
6255532300
760541521
oct23152754
910424360
105035500
11292a278
12182a090
131073cb2
14951148
15697000
hex4cd5ec

5035500 has 96 divisors (see below), whose sum is σ = 16336320. Its totient is φ = 1339200.

The previous prime is 5035493. The next prime is 5035507. The reversal of 5035500 is 55305.

It is an interprime number because it is at equal distance from previous prime (5035493) and next prime (5035507).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5035507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13314 + ... + 13686.

It is an arithmetic number, because the mean of its divisors is an integer number (170170).

Almost surely, 25035500 is an apocalyptic number.

5035500 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 5035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168160).

5035500 is an abundant number, since it is smaller than the sum of its proper divisors (11300820).

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

5035500 is a wasteful number, since it uses less digits than its factorization.

5035500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5035500 is about 2243.9919785953. The cubic root of 5035500 is about 171.4013349586.

The spelling of 5035500 in words is "five million, thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 373 375 450 500 540 675 746 750 900 1119 1125 1350 1492 1500 1865 2238 2250 2700 3357 3375 3730 4476 4500 5595 6714 6750 7460 9325 10071 11190 13428 13500 16785 18650 20142 22380 27975 33570 37300 40284 46625 50355 55950 67140 83925 93250 100710 111900 139875 167850 186500 201420 251775 279750 335700 419625 503550 559500 839250 1007100 1258875 1678500 2517750 5035500