Search a number
-
+
6054302336 = 27972112311
BaseRepresentation
bin1011010001101110…
…10101001010000000
3120121221020102110212
411220313111022000
544344400133321
62440432413252
7303013502135
oct55067251200
916557212425
106054302336
11262754aa55
12120b6a7228
137563cc524
1441610658c
152567b255b
hex168dd5280

6054302336 has 64 divisors (see below), whose sum is σ = 12248698560. Its totient is φ = 2980454400.

The previous prime is 6054302333. The next prime is 6054302389. The reversal of 6054302336 is 6332034506.

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

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

It is not an unprimeable number, because it can be changed into a prime (6054302333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2618621 + ... + 2620931.

It is an arithmetic number, because the mean of its divisors is an integer number (191385915).

Almost surely, 26054302336 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 6054302336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124349280).

6054302336 is an abundant number, since it is smaller than the sum of its proper divisors (6194396224).

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

6054302336 is a wasteful number, since it uses less digits than its factorization.

6054302336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 6054302336 is about 77809.3974787108. The cubic root of 6054302336 is about 1822.5860207039.

The spelling of 6054302336 in words is "six billion, fifty-four million, three hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 211 388 422 776 844 1552 1688 2311 3104 3376 4622 6208 6752 9244 12416 13504 18488 20467 27008 36976 40934 73952 81868 147904 163736 224167 295808 327472 448334 487621 654944 896668 975242 1309888 1793336 1950484 2619776 3586672 3900968 7173344 7801936 14346688 15603872 28693376 31207744 47299237 62415488 94598474 189196948 378393896 756787792 1513575584 3027151168 6054302336