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4024423100 = 2252312295669
BaseRepresentation
bin1110111111011111…
…1101001010111100
3101101110122212122102
43233313331022330
531220223014400
61503201204232
7201505013645
oct35767751274
911343585572
104024423100
111785755705
12943930678
134c19c3159
142a26b06cc
1518849b9d5
hexefdfd2bc

4024423100 has 72 divisors (see below), whose sum is σ = 9055670400. Its totient is φ = 1550764800.

The previous prime is 4024423049. The next prime is 4024423111. The reversal of 4024423100 is 13244204.

It is a super-2 number, since 2×40244231002 = 32391962575627220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707066 + ... + 712734.

It is an arithmetic number, because the mean of its divisors is an integer number (125773200).

Almost surely, 24024423100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527835200).

4024423100 is an abundant number, since it is smaller than the sum of its proper divisors (5031247300).

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

4024423100 is a wasteful number, since it uses less digits than its factorization.

4024423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4024423100 is about 63438.3409303869. The cubic root of 4024423100 is about 1590.6252699477.

Adding to 4024423100 its reverse (13244204), we get a palindrome (4037667304).

The spelling of 4024423100 in words is "four billion, twenty-four million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 229 310 458 620 775 916 1145 1550 2290 3100 4580 5669 5725 7099 11338 11450 14198 22676 22900 28345 28396 35495 56690 70990 113380 141725 141980 175739 177475 283450 351478 354950 566900 702956 709900 878695 1298201 1757390 2596402 3514780 4393475 5192804 6491005 8786950 12982010 17573900 25964020 32455025 40244231 64910050 80488462 129820100 160976924 201221155 402442310 804884620 1006105775 2012211550 4024423100