Search a number
-
+
4052020896 = 253373112113
BaseRepresentation
bin1111000110000100…
…1110111010100000
3101110101120222201000
43301201032322200
531244304132041
61510024512000
7202261416000
oct36141167240
911411528630
104052020896
11179a295300
1295101b600
134c7636901
142a6216000
1518aaedbb6
hexf184eea0

4052020896 has 576 divisors, whose sum is σ = 15283296000. Its totient is φ = 1043159040.

The previous prime is 4052020877. The next prime is 4052020909. The reversal of 4052020896 is 6980202504.

It is a happy number.

4052020896 is a `hidden beast` number, since 40 + 520 + 2 + 0 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4052020896.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35858536 + ... + 35858648.

It is an arithmetic number, because the mean of its divisors is an integer number (26533500).

Almost surely, 24052020896 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 4052020896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641648000).

4052020896 is an abundant number, since it is smaller than the sum of its proper divisors (11231275104).

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

4052020896 is a wasteful number, since it uses less digits than its factorization.

4052020896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4052020896 is about 63655.4859851058. The cubic root of 4052020896 is about 1594.2529359166.

It can be divided in two parts, 40520 and 20896, that added together give a palindrome (61416).

The spelling of 4052020896 in words is "four billion, fifty-two million, twenty thousand, eight hundred ninety-six".