Search a number
-
+
4200832256 = 2823968659
BaseRepresentation
bin1111101001100011…
…1001110100000000
3101211202121101111212
43322120321310000
532100403113011
61532502225252
7206046325235
oct37230716400
911752541455
104200832256
1118662954a5
12992a25228
1351c40a77a
142bbcb178c
15198be608b
hexfa639d00

4200832256 has 36 divisors (see below), whose sum is σ = 8420462400. Its totient is φ = 2091597312.

The previous prime is 4200832249. The next prime is 4200832267. The reversal of 4200832256 is 6522380024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26855 + ... + 95513.

Almost surely, 24200832256 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 4200832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210231200).

4200832256 is an abundant number, since it is smaller than the sum of its proper divisors (4219630144).

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

4200832256 is an equidigital number, since it uses as much as digits as its factorization.

4200832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68914 (or 68900 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 4200832256 is about 64813.8276604615. The cubic root of 4200832256 is about 1613.5352092775.

The spelling of 4200832256 in words is "four billion, two hundred million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 3824 7648 15296 30592 61184 68659 137318 274636 549272 1098544 2197088 4394176 8788352 16409501 17576704 32819002 65638004 131276008 262552016 525104032 1050208064 2100416128 4200832256