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4113254200 = 2352114214441
BaseRepresentation
bin1111010100101011…
…0100011100111000
3101121122210222000011
43311022310130320
531410443113300
61520053151304
7203634040516
oct36512643470
911548728004
104113254200
111820908840
1296962b534
13507226033
142b03d54b6
15191196eba
hexf52b4738

4113254200 has 96 divisors (see below), whose sum is σ = 10459843920. Its totient is φ = 1491840000.

The previous prime is 4113254191. The next prime is 4113254203. The reversal of 4113254200 is 24523114.

It is a super-2 number, since 2×41132542002 = 33837720227635280000, which contains 22 as substring.

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 (4113254203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923980 + ... + 928420.

Almost surely, 24113254200 is an apocalyptic number.

4113254200 is a gapful number since it is divisible by the number (40) 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 4113254200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229921960).

4113254200 is an abundant number, since it is smaller than the sum of its proper divisors (6346589720).

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

4113254200 is a wasteful number, since it uses less digits than its factorization.

4113254200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4113254200 is about 64134.6567777516. The cubic root of 4113254200 is about 1602.2434933656.

Adding to 4113254200 its reverse (24523114), we get a palindrome (4137777314).

The spelling of 4113254200 in words is "four billion, one hundred thirteen million, two hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 421 440 550 842 1100 1684 2105 2200 3368 4210 4441 4631 8420 8882 9262 10525 16840 17764 18524 21050 22205 23155 35528 37048 42100 44410 46310 48851 84200 88820 92620 97702 111025 115775 177640 185240 195404 222050 231550 244255 390808 444100 463100 488510 888200 926200 977020 1221275 1869661 1954040 2442550 3739322 4885100 7478644 9348305 9770200 14957288 18696610 20566271 37393220 41132542 46741525 74786440 82265084 93483050 102831355 164530168 186966100 205662710 373932200 411325420 514156775 822650840 1028313550 2056627100 4113254200