Search a number
-
+
2053362752 = 26729315643
BaseRepresentation
bin111101001100011…
…1101010001000000
312022002202122011022
41322120331101000
513201130102002
6535430405012
7101612203220
oct17230752100
95262678138
102053362752
11964084911
12493800768
1326953c25c
141569ca080
15c0403ba2
hex7a63d440

2053362752 has 56 divisors (see below), whose sum is σ = 4672925376. Its totient is φ = 876953088.

The previous prime is 2053362733. The next prime is 2053362763. The reversal of 2053362752 is 2572633502.

It is a tau number, because it is divible by the number of its divisors (56).

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, 123443 + ... + 139085.

It is an arithmetic number, because the mean of its divisors is an integer number (83445096).

Almost surely, 22053362752 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 2053362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336462688).

2053362752 is an abundant number, since it is smaller than the sum of its proper divisors (2619562624).

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

2053362752 is a wasteful number, since it uses less digits than its factorization.

2053362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15955 (or 15945 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 2053362752 is about 45314.0458577691. The cubic root of 2053362752 is about 1271.0283179520.

The spelling of 2053362752 in words is "two billion, fifty-three million, three hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 293 448 586 1172 2051 2344 4102 4688 8204 9376 15643 16408 18752 31286 32816 62572 65632 109501 125144 131264 219002 250288 438004 500576 876008 1001152 1752016 3504032 4583399 7008064 9166798 18333596 32083793 36667192 64167586 73334384 128335172 146668768 256670344 293337536 513340688 1026681376 2053362752