Search a number
-
+
2053592352 = 253472192337
BaseRepresentation
bin111101001100111…
…0101010100100000
312022010012022010000
41322121311110200
513201204423402
6535435340000
7101614150500
oct17231652440
95263168100
102053592352
11964221369
124938b1600
132695bc906
14156a49a00
15c044bc1c
hex7a675520

2053592352 has 720 divisors, whose sum is σ = 7925480640. Its totient is φ = 517321728.

The previous prime is 2053592339. The next prime is 2053592353. The reversal of 2053592352 is 2532953502.

2053592352 is a `hidden beast` number, since 2 + 0 + 535 + 92 + 35 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2053592353) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55502478 + ... + 55502514.

It is an arithmetic number, because the mean of its divisors is an integer number (11007612).

Almost surely, 22053592352 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 2053592352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962740320).

2053592352 is an abundant number, since it is smaller than the sum of its proper divisors (5871888288).

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

2053592352 is a wasteful number, since it uses less digits than its factorization.

2053592352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 2053592352 is about 45316.5792177653. The cubic root of 2053592352 is about 1271.0756901995.

The spelling of 2053592352 in words is "two billion, fifty-three million, five hundred ninety-two thousand, three hundred fifty-two".