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438299136 = 2932118647
BaseRepresentation
bin11010000111111…
…110101000000000
31010112201220101100
4122013332220000
51344201033021
6111254134400
713601324022
oct3207765000
91115656340
10438299136
112054546a0
12102951400
136ca60c02
14422d4012
152872b626
hex1a1fea00

438299136 has 120 divisors (see below), whose sum is σ = 1380117024. Its totient is φ = 132802560.

The previous prime is 438299119. The next prime is 438299149. The reversal of 438299136 is 631992834.

It is a happy number.

It is a super-2 number, since 2×4382991362 = 384212265236692992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 438299091 and 438299100.

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, 46365 + ... + 55011.

Almost surely, 2438299136 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 438299136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690058512).

438299136 is an abundant number, since it is smaller than the sum of its proper divisors (941817888).

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

438299136 is a wasteful number, since it uses less digits than its factorization.

438299136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8682 (or 8663 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 438299136 is about 20935.5949521383. The cubic root of 438299136 is about 759.6091804089.

The spelling of 438299136 in words is "four hundred thirty-eight million, two hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 8647 12672 16896 17294 25344 25941 34588 50688 51882 69176 77823 95117 103764 138352 155646 190234 207528 276704 285351 311292 380468 415056 553408 570702 622584 760936 830112 856053 1106816 1141404 1245168 1521872 1660224 1712106 2213632 2282808 2490336 3043744 3320448 3424212 4427264 4565616 4980672 6087488 6640896 6848424 9131232 9961344 12174976 13281792 13696848 18262464 19922688 24349952 27393696 36524928 39845376 48699904 54787392 73049856 109574784 146099712 219149568 438299136