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4413886272 = 263218142337
BaseRepresentation
bin1000001110001011…
…01000111101000000
3102101121111122200100
410013011220331000
533014423330042
62005552522400
7214244262045
oct40705507500
912347448610
104413886272
1119655840a4
12a32250400
135545b5733
142dc2d11cc
151ac77d24c
hex107168f40

4413886272 has 84 divisors (see below), whose sum is σ = 12721806916. Its totient is φ = 1463132160.

The previous prime is 4413886247. The next prime is 4413886297. The reversal of 4413886272 is 2726883144.

It is a happy number.

4413886272 is a `hidden beast` number, since 4 + 4 + 13 + 8 + 8 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4413886247) and next prime (4413886297).

It can be written as a sum of positive squares in 2 ways, for example, as 1500477696 + 2913408576 = 38736^2 + 53976^2 .

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 11 ways as a sum of consecutive naturals, for example, 83088 + ... + 125424.

Almost surely, 24413886272 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 4413886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360903458).

4413886272 is an abundant number, since it is smaller than the sum of its proper divisors (8307920644).

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

4413886272 is a wasteful number, since it uses less digits than its factorization.

4413886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42536 (or 42523 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4413886272 is about 66437.0850654964. The cubic root of 4413886272 is about 1640.3645669788.

The spelling of 4413886272 in words is "four billion, four hundred thirteen million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 42337 52128 84674 104256 127011 169348 254022 338696 381033 508044 677392 762066 1016088 1354784 1524132 2032176 2709568 3048264 4064352 6096528 7662997 8128704 12193056 15325994 22988991 24386112 30651988 45977982 61303976 68966973 91955964 122607952 137933946 183911928 245215904 275867892 367823856 490431808 551735784 735647712 1103471568 1471295424 2206943136 4413886272