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4377077344 = 25413599293
BaseRepresentation
bin1000001001110010…
…01110011001100000
3102022001020120022201
410010321032121200
532431012433334
62002155542544
7213316354303
oct40471163140
912261216281
104377077344
111946822aa2
12a21a5aa54
13549a984c3
142d746cb3a
151a940bc14
hex104e4e660

4377077344 has 48 divisors (see below), whose sum is σ = 8853092640. Its totient is φ = 2128983040.

The previous prime is 4377077339. The next prime is 4377077359. The reversal of 4377077344 is 4437707734.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4377077294 and 4377077303.

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 7 ways as a sum of consecutive naturals, for example, 466362 + ... + 475654.

It is an arithmetic number, because the mean of its divisors is an integer number (184439430).

Almost surely, 24377077344 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 4377077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426546320).

4377077344 is an abundant number, since it is smaller than the sum of its proper divisors (4476015296).

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

4377077344 is a wasteful number, since it uses less digits than its factorization.

4377077344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9703 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 46.

The square root of 4377077344 is about 66159.4841576021. The cubic root of 4377077344 is about 1635.7919762282.

The spelling of 4377077344 in words is "four billion, three hundred seventy-seven million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 359 656 718 1312 1436 2872 5744 9293 11488 14719 18586 29438 37172 58876 74344 117752 148688 235504 297376 381013 471008 762026 1524052 3048104 3336187 6096208 6672374 12192416 13344748 26689496 53378992 106757984 136783667 273567334 547134668 1094269336 2188538672 4377077344