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4240425200 = 2452118231171
BaseRepresentation
bin1111110010111111…
…1100000011110000
3101221112002220211012
43330233330003300
532141022101300
61540435010052
7210040006454
oct37457740360
911845086735
104240425200
111886678240
129a4139928
13527690c4b
142c325a664
1519c417435
hexfcbfc0f0

4240425200 has 120 divisors (see below), whose sum is σ = 11136775296. Its totient is φ = 1538784000.

The previous prime is 4240425193. The next prime is 4240425221. The reversal of 4240425200 is 25240424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3620615 + ... + 3621785.

Almost surely, 24240425200 is an apocalyptic number.

4240425200 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 4240425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568387648).

4240425200 is an abundant number, since it is smaller than the sum of its proper divisors (6896350096).

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

4240425200 is a wasteful number, since it uses less digits than its factorization.

4240425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 4240425200 is about 65118.5472810934. The cubic root of 4240425200 is about 1618.5885689457.

Adding to 4240425200 its reverse (25240424), we get a palindrome (4265665624).

The spelling of 4240425200 in words is "four billion, two hundred forty million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 823 880 1100 1171 1646 2200 2342 3292 4115 4400 4684 5855 6584 8230 9053 9368 11710 12881 13168 16460 18106 18736 20575 23420 25762 29275 32920 36212 41150 45265 46840 51524 58550 64405 65840 72424 82300 90530 93680 103048 117100 128810 144848 164600 181060 206096 226325 234200 257620 322025 329200 362120 452650 468400 515240 644050 724240 905300 963733 1030480 1288100 1810600 1927466 2576200 3621200 3854932 4818665 5152400 7709864 9637330 10601063 15419728 19274660 21202126 24093325 38549320 42404252 48186650 53005315 77098640 84808504 96373300 106010630 169617008 192746600 212021260 265026575 385493200 424042520 530053150 848085040 1060106300 2120212600 4240425200