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4102542200 = 2352238391063
BaseRepresentation
bin1111010010000111…
…1101001101111000
3101120220122201220102
43310201331031320
531400222322300
61515031414532
7203444014301
oct36441751570
911526581812
104102542200
111815861749
12965b24448
13504c45383
142acc077a8
1519027d0d5
hexf487d378

4102542200 has 96 divisors (see below), whose sum is σ = 9974361600. Its totient is φ = 1566322560.

The previous prime is 4102542193. The next prime is 4102542233. The reversal of 4102542200 is 22452014.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3858869 + ... + 3859931.

It is an arithmetic number, because the mean of its divisors is an integer number (103899600).

Almost surely, 24102542200 is an apocalyptic number.

4102542200 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 4102542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

4102542200 is an abundant number, since it is smaller than the sum of its proper divisors (5871819400).

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

4102542200 is a wasteful number, since it uses less digits than its factorization.

4102542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4102542200 is about 64051.0905449704. The cubic root of 4102542200 is about 1600.8513958312.

Adding to 4102542200 its reverse (22452014), we get a palindrome (4124994214).

The spelling of 4102542200 in words is "four billion, one hundred two million, five hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 839 920 1063 1150 1678 2126 2300 3356 4195 4252 4600 5315 6712 8390 8504 10630 16780 19297 20975 21260 24449 26575 33560 38594 41950 42520 48898 53150 77188 83900 96485 97796 106300 122245 154376 167800 192970 195592 212600 244490 385940 482425 488980 611225 771880 891857 964850 977960 1222450 1783714 1929700 2444900 3567428 3859400 4459285 4889800 7134856 8918570 17837140 20512711 22296425 35674280 41025422 44592850 82050844 89185700 102563555 164101688 178371400 205127110 410254220 512817775 820508440 1025635550 2051271100 4102542200