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4644925440 = 212351923173
BaseRepresentation
bin1000101001101101…
…11111000000000000
3102222201020122211120
410110312333000000
534003100103230
62044524512240
7223051133451
oct42466770000
912881218746
104644925440
111a73a37261
12a976ab680
135904199bc
14320c73128
151c2bb9310
hex114dbf000

4644925440 has 416 divisors, whose sum is σ = 16418695680. Its totient is φ = 1115947008.

The previous prime is 4644925433. The next prime is 4644925511. The reversal of 4644925440 is 445294464.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4644925392 and 4644925401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26849194 + ... + 26849366.

Almost surely, 24644925440 is an apocalyptic number.

4644925440 is a gapful number since it is divisible by the number (40) 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 4644925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209347840).

4644925440 is an abundant number, since it is smaller than the sum of its proper divisors (11773770240).

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

4644925440 is a wasteful number, since it uses less digits than its factorization.

4644925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 4644925440 is about 68153.6898487529. The cubic root of 4644925440 is about 1668.5001461832.

The spelling of 4644925440 in words is "four billion, six hundred forty-four million, nine hundred twenty-five thousand, four hundred forty".