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414530112 = 26313116481
BaseRepresentation
bin11000101101010…
…011101001000000
31001220000022102010
4120231103221000
51322104430422
6105044452520
713162306413
oct3055235100
91056008363
10414530112
111a2a9a677
12b69aa140
1367b5b0b9
143d0a7b7a
15265d3b0c
hex18b53a40

414530112 has 56 divisors (see below), whose sum is σ = 1105216992. Its totient is φ = 137113600.

The previous prime is 414530107. The next prime is 414530153. The reversal of 414530112 is 211035414.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16912 + ... + 33392.

Almost surely, 2414530112 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 414530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552608496).

414530112 is an abundant number, since it is smaller than the sum of its proper divisors (690686880).

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

414530112 is a wasteful number, since it uses less digits than its factorization.

414530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16627 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 414530112 is about 20360.0125736700. The cubic root of 414530112 is about 745.6219672775.

Adding to 414530112 its reverse (211035414), we get a palindrome (625565526).

The spelling of 414530112 in words is "four hundred fourteen million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16481 25152 32962 49443 65924 98886 131848 197772 263696 395544 527392 791088 1054784 1582176 2159011 3164352 4318022 6477033 8636044 12954066 17272088 25908132 34544176 51816264 69088352 103632528 138176704 207265056 414530112