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4214050432 = 27192375337
BaseRepresentation
bin1111101100101101…
…0100111010000000
3101212200110221102221
43323023110322000
532112244103212
61534053420424
7206266560214
oct37313247200
911780427387
104214050432
1118727a3509
1299733a714
13522088087
142bd952944
15199e57807
hexfb2d4e80

4214050432 has 64 divisors (see below), whose sum is σ = 9221371200. Its totient is φ = 1909315584.

The previous prime is 4214050427. The next prime is 4214050453. The reversal of 4214050432 is 2340504124.

It is a happy number.

4214050432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4214050397 and 4214050406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18268 + ... + 93604.

It is an arithmetic number, because the mean of its divisors is an integer number (144083925).

Almost surely, 24214050432 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 4214050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610685600).

4214050432 is an abundant number, since it is smaller than the sum of its proper divisors (5007320768).

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

4214050432 is a wasteful number, since it uses less digits than its factorization.

4214050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75393 (or 75381 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4214050432 is about 64915.7179117662. The cubic root of 4214050432 is about 1615.2257997889.

Adding to 4214050432 its reverse (2340504124), we get a palindrome (6554554556).

The spelling of 4214050432 in words is "four billion, two hundred fourteen million, fifty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 304 368 437 608 736 874 1216 1472 1748 2432 2944 3496 6992 13984 27968 55936 75337 150674 301348 602696 1205392 1431403 1732751 2410784 2862806 3465502 4821568 5725612 6931004 9643136 11451224 13862008 22902448 27724016 32922269 45804896 55448032 65844538 91609792 110896064 131689076 183219584 221792128 263378152 526756304 1053512608 2107025216 4214050432