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8253053056 = 27374194159
BaseRepresentation
bin1111010111110101…
…11001100010000000
3210022011120112102201
413223322321202000
5113400240144211
63442535322544
7411342536113
oct75372714200
923264515381
108253053056
1135556a6a06
121723b20454
13a16ab4361
1458413a57a
153348340c1
hex1ebeb9880

8253053056 has 64 divisors (see below), whose sum is σ = 16930368000. Its totient is φ = 4004453376.

The previous prime is 8253053051. The next prime is 8253053143. The reversal of 8253053056 is 6503503528.

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

It is a super-2 number, since 2×82530530562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (8253053051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1982305 + ... + 1986463.

It is an arithmetic number, because the mean of its divisors is an integer number (264537000).

Almost surely, 28253053056 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 8253053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465184000).

8253053056 is an abundant number, since it is smaller than the sum of its proper divisors (8677314944).

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

8253053056 is a wasteful number, since it uses less digits than its factorization.

8253053056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The square root of 8253053056 is about 90846.3155884706. The cubic root of 8253053056 is about 2020.8692347641.

The spelling of 8253053056 in words is "eight billion, two hundred fifty-three million, fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 419 592 838 1184 1676 2368 3352 4159 4736 6704 8318 13408 15503 16636 26816 31006 33272 53632 62012 66544 124024 133088 153883 248048 266176 307766 496096 532352 615532 992192 1231064 1742621 1984384 2462128 3485242 4924256 6970484 9848512 13940968 19697024 27881936 55763872 64476977 111527744 128953954 223055488 257907908 515815816 1031631632 2063263264 4126526528 8253053056