Search a number
-
+
4242124100 = 225242421241
BaseRepresentation
bin1111110011011001…
…1010110101000100
3101221122022020021102
43330312122311010
532141440432400
61540535235232
7210060313514
oct37466326504
911848266242
104242124100
111887628695
129a4818b18
13527b37306
142c357d844
1519c6509d5
hexfcd9ad44

4242124100 has 18 divisors (see below), whose sum is σ = 9205409514. Its totient is φ = 1696849600.

The previous prime is 4242124093. The next prime is 4242124109. The reversal of 4242124100 is 14212424.

It can be written as a sum of positive squares in 3 ways, for example, as 1103435524 + 3138688576 = 33218^2 + 56024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4242124109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21210521 + ... + 21210720.

Almost surely, 24242124100 is an apocalyptic number.

It is an amenable number.

4242124100 is an abundant number, since it is smaller than the sum of its proper divisors (4963285414).

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

4242124100 is a wasteful number, since it uses less digits than its factorization.

4242124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42421255 (or 42421248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4242124100 is about 65131.5906454003. The cubic root of 4242124100 is about 1618.8046992344.

Adding to 4242124100 its reverse (14212424), we get a palindrome (4256336524).

The spelling of 4242124100 in words is "four billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42421241 84842482 169684964 212106205 424212410 848424820 1060531025 2121062050 4242124100