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438875136 = 2103276803
BaseRepresentation
bin11010001010001…
…011010000000000
31010120211011111200
4122022023100000
51344323001021
6111314341200
713606243230
oct3212132000
91116734450
10438875136
11205808427
12102b8a800
136cc0313b
1442403cc0
15287e2126
hex1a28b400

438875136 has 132 divisors (see below), whose sum is σ = 1448489952. Its totient is φ = 125374464.

The previous prime is 438875119. The next prime is 438875137. The reversal of 438875136 is 631578834.

438875136 is a `hidden beast` number, since 438 + 87 + 5 + 136 = 666.

It is a super-2 number, since 2×4388751362 = 385222769998036992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438875091 and 438875100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438875137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61111 + ... + 67913.

Almost surely, 2438875136 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 438875136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724244976).

438875136 is an abundant number, since it is smaller than the sum of its proper divisors (1009614816).

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

438875136 is a wasteful number, since it uses less digits than its factorization.

438875136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836 (or 6815 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 438875136 is about 20949.3469110615. The cubic root of 438875136 is about 759.9417868616.

It can be divided in two parts, 4388 and 75136, that added together give a square (79524 = 2822).

The spelling of 438875136 in words is "four hundred thirty-eight million, eight hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 6803 7168 8064 9216 10752 13606 16128 20409 21504 27212 32256 40818 47621 54424 61227 64512 81636 95242 108848 122454 142863 163272 190484 217696 244908 285726 326544 380968 428589 435392 489816 571452 653088 761936 857178 870784 979632 1142904 1306176 1523872 1714356 1741568 1959264 2285808 2612352 3047744 3428712 3483136 3918528 4571616 5224704 6095488 6857424 6966272 7837056 9143232 10449408 12190976 13714848 15674112 18286464 20898816 24381952 27429696 31348224 36572928 48763904 54859392 62696448 73145856 109718784 146291712 219437568 438875136