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5035033300 = 22521116727409
BaseRepresentation
bin1001011000001110…
…01000001011010100
3110222220022012012211
410230013020023110
540302432031200
62151342123204
7235526035243
oct45407101324
913886265184
105035033300
112154166050
12b86280504
136231a685b
1435a9c095a
151e7076aba
hex12c1c82d4

5035033300 has 72 divisors (see below), whose sum is σ = 11991107520. Its totient is φ = 1819891200.

The previous prime is 5035033229. The next prime is 5035033301. The reversal of 5035033300 is 33305305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035033301) 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 23 ways as a sum of consecutive naturals, for example, 169996 + ... + 197404.

It is an arithmetic number, because the mean of its divisors is an integer number (166543160).

Almost surely, 25035033300 is an apocalyptic number.

5035033300 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 5035033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995553760).

5035033300 is an abundant number, since it is smaller than the sum of its proper divisors (6956074220).

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

5035033300 is a wasteful number, since it uses less digits than its factorization.

5035033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27601 (or 27594 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 22.

The square root of 5035033300 is about 70957.9685447660. The cubic root of 5035033300 is about 1713.9603952458.

Adding to 5035033300 its reverse (33305305), we get a palindrome (5068338605).

The spelling of 5035033300 in words is "five billion, thirty-five million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 167 220 275 334 550 668 835 1100 1670 1837 3340 3674 4175 7348 8350 9185 16700 18370 27409 36740 45925 54818 91850 109636 137045 183700 274090 301499 548180 602998 685225 1205996 1370450 1507495 2740900 3014990 4577303 6029980 7537475 9154606 15074950 18309212 22886515 30149900 45773030 50350333 91546060 100700666 114432575 201401332 228865150 251751665 457730300 503503330 1007006660 1258758325 2517516650 5035033300