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4427657240 = 235413118681
BaseRepresentation
bin1000001111110100…
…01011000000011000
3102102120102021220012
410013322023000120
533031440012430
62011204021052
7214502315456
oct40772130030
912376367805
104427657240
11197232a466
12a36991788
135573c7836
143000779d6
151ada9d695
hex107e8b018

4427657240 has 64 divisors (see below), whose sum is σ = 10239203520. Its totient is φ = 1722112000.

The previous prime is 4427657237. The next prime is 4427657257. The reversal of 4427657240 is 427567244.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 505700 + ... + 514380.

It is an arithmetic number, because the mean of its divisors is an integer number (159987555).

Almost surely, 24427657240 is an apocalyptic number.

4427657240 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 4427657240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5119601760).

4427657240 is an abundant number, since it is smaller than the sum of its proper divisors (5811546280).

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

4427657240 is a wasteful number, since it uses less digits than its factorization.

4427657240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The square root of 4427657240 is about 66540.6435195813. The cubic root of 4427657240 is about 1642.0687308252.

The spelling of 4427657240 in words is "four billion, four hundred twenty-seven million, six hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 311 328 410 622 820 1244 1555 1640 2488 3110 6220 8681 12440 12751 17362 25502 34724 43405 51004 63755 69448 86810 102008 127510 173620 255020 347240 355921 510040 711842 1423684 1779605 2699791 2847368 3559210 5399582 7118420 10799164 13498955 14236840 21598328 26997910 53995820 107991640 110691431 221382862 442765724 553457155 885531448 1106914310 2213828620 4427657240