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2052275904 = 263271779379
BaseRepresentation
bin111101001010011…
…0011111011000000
312022000201102021200
41322110303323000
513200340312104
6535351221200
7101600025450
oct17224637300
95260642250
102052275904
11963502298
12493377800
1326924b653
141567c5d60
15c028bb39
hex7a533ec0

2052275904 has 336 divisors, whose sum is σ = 7227417600. Its totient is φ = 543449088.

The previous prime is 2052275893. The next prime is 2052275909. The reversal of 2052275904 is 4095722502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20522759042 = 8423672772278034432, which contains 22 as substring.

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 (2052275909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5414787 + ... + 5415165.

Almost surely, 22052275904 is an apocalyptic number.

2052275904 is a gapful number since it is divisible by the number (24) 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 2052275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613708800).

2052275904 is an abundant number, since it is smaller than the sum of its proper divisors (5175141696).

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

2052275904 is a wasteful number, since it uses less digits than its factorization.

2052275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2052275904 is about 45302.0518740597. The cubic root of 2052275904 is about 1270.8040259731.

The spelling of 2052275904 in words is "two billion, fifty-two million, two hundred seventy-five thousand, nine hundred four".