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4674200256 = 26351189307
BaseRepresentation
bin1000101101001101…
…01010001011000000
3110001202022222100000
410112212222023000
534033043402011
62051452200000
7223555021665
oct42646521300
913052288300
104674200256
111a89511920
12aa5469000
135964c988b
14324ad3a6c
151c554d356
hex1169aa2c0

4674200256 has 336 divisors, whose sum is σ = 15377281920. Its totient is φ = 1395947520.

The previous prime is 4674200227. The next prime is 4674200257. The reversal of 4674200256 is 6520024764.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4674200256.

It is not an unprimeable number, because it can be changed into a prime (4674200257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15225255 + ... + 15225561.

It is an arithmetic number, because the mean of its divisors is an integer number (45765720).

Almost surely, 24674200256 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 4674200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688640960).

4674200256 is an abundant number, since it is smaller than the sum of its proper divisors (10703081664).

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

4674200256 is a wasteful number, since it uses less digits than its factorization.

4674200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4674200256 is about 68368.1230984148. The cubic root of 4674200256 is about 1671.9980693338.

The spelling of 4674200256 in words is "four billion, six hundred seventy-four million, two hundred thousand, two hundred fifty-six".