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4482861240 = 23351131317127
BaseRepresentation
bin1000010110011001…
…10000100010111000
3102120102021221112210
410023030300202320
533140103024430
62020455135120
7216042456204
oct41314604270
912512257483
104482861240
1119a0505000
12a513744a0
13565985820
14307527b04
151b38552b0
hex10b3308b8

4482861240 has 512 divisors, whose sum is σ = 17000202240. Its totient is φ = 936714240.

The previous prime is 4482861221. The next prime is 4482861263. The reversal of 4482861240 is 421682844.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 127 ways as a sum of consecutive naturals, for example, 35298057 + ... + 35298183.

It is an arithmetic number, because the mean of its divisors is an integer number (33203520).

Almost surely, 24482861240 is an apocalyptic number.

4482861240 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 4482861240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500101120).

4482861240 is an abundant number, since it is smaller than the sum of its proper divisors (12517341000).

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

4482861240 is a wasteful number, since it uses less digits than its factorization.

4482861240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4482861240 is about 66954.1726855018. The cubic root of 4482861240 is about 1648.8649972105.

The spelling of 4482861240 in words is "four billion, four hundred eighty-two million, eight hundred sixty-one thousand, two hundred forty".