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4401277056 = 2732112315101
BaseRepresentation
bin1000001100101011…
…00010100010000000
3102100201210001002100
410012111202202000
533003211331211
62004422350400
7214032144351
oct40625424200
912321701070
104401277056
111959451660
12a29b8b400
13551abc367
142da76bd28
151ab5dc156
hex106562880

4401277056 has 192 divisors, whose sum is σ = 14418181440. Its totient is φ = 1275648000.

The previous prime is 4401277043. The next prime is 4401277057. The reversal of 4401277056 is 6507721044.

It is a tau number, because it is divible by the number of its divisors (192).

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 4401277056.

It is not an unprimeable number, because it can be changed into a prime (4401277057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283906 + ... + 299006.

It is an arithmetic number, because the mean of its divisors is an integer number (75094695).

Almost surely, 24401277056 is an apocalyptic number.

4401277056 is a gapful number since it is divisible by the number (46) 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 4401277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209090720).

4401277056 is an abundant number, since it is smaller than the sum of its proper divisors (10016904384).

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

4401277056 is a wasteful number, since it uses less digits than its factorization.

4401277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15155 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4401277056 is about 66342.1212805258. The cubic root of 4401277056 is about 1638.8010590699.

The spelling of 4401277056 in words is "four billion, four hundred one million, two hundred seventy-seven thousand, fifty-six".