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133849872 = 243213127563
BaseRepresentation
bin1111111101001…
…10001100010000
3100022212021111200
413332212030100
5233231143442
621140511200
73213463602
oct776461420
9308767450
10133849872
1169611432
12389ab500
1321965c10
1413ac3172
15bb3e34c
hex7fa6310

133849872 has 120 divisors (see below), whose sum is σ = 407307264. Its totient is φ = 40787712.

The previous prime is 133849861. The next prime is 133849883. The reversal of 133849872 is 278948331.

133849872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133849861) and next prime (133849883).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237463 + ... + 238025.

Almost surely, 2133849872 is an apocalyptic number.

133849872 is a gapful number since it is divisible by the number (12) 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 133849872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203653632).

133849872 is an abundant number, since it is smaller than the sum of its proper divisors (273457392).

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

133849872 is a wasteful number, since it uses less digits than its factorization.

133849872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 133849872 is about 11569.3505435699. The cubic root of 133849872 is about 511.5318189257.

The spelling of 133849872 in words is "one hundred thirty-three million, eight hundred forty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 508 563 624 762 936 1016 1126 1143 1524 1651 1689 1872 2032 2252 2286 3048 3302 3378 4504 4572 4953 5067 6096 6604 6756 7319 9008 9144 9906 10134 13208 13512 14638 14859 18288 19812 20268 21957 26416 27024 29276 29718 39624 40536 43914 58552 59436 65871 71501 79248 81072 87828 117104 118872 131742 143002 175656 214503 237744 263484 286004 351312 429006 526968 572008 643509 858012 929513 1053936 1144016 1287018 1716024 1859026 2574036 2788539 3432048 3718052 5148072 5577078 7436104 8365617 10296144 11154156 14872208 16731234 22308312 33462468 44616624 66924936 133849872