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2053453248 = 263371122361
BaseRepresentation
bin111101001100101…
…0011010111000000
312022002221020022000
41322121103113000
513201141000443
6535432344000
7101613031110
oct17231232700
95262836260
102053453248
11964136900
12493845000
132695714c2
14156a11040
15c04208d3
hex7a6535c0

2053453248 has 672 divisors, whose sum is σ = 8042818560. Its totient is φ = 501811200.

The previous prime is 2053453247. The next prime is 2053453277. The reversal of 2053453248 is 8423543502.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053453247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33663138 + ... + 33663198.

It is an arithmetic number, because the mean of its divisors is an integer number (11968480).

Almost surely, 22053453248 is an apocalyptic number.

2053453248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021409280).

2053453248 is an abundant number, since it is smaller than the sum of its proper divisors (5989365312).

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

2053453248 is a wasteful number, since it uses less digits than its factorization.

2053453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2053453248 is about 45315.0443892533. The cubic root of 2053453248 is about 1271.0469899717.

The spelling of 2053453248 in words is "two billion, fifty-three million, four hundred fifty-three thousand, two hundred forty-eight".