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481376412 = 223311405199
BaseRepresentation
bin11100101100010…
…011100010011100
31020112210110022000
4130230103202130
51441213021122
6115433322300
714633426526
oct3454234234
91215713260
10481376412
112277a7250
12115266390
137896431a
1447d08a16
152c3da0ac
hex1cb1389c

481376412 has 48 divisors (see below), whose sum is σ = 1361472000. Its totient is φ = 145871280.

The previous prime is 481376393. The next prime is 481376431. The reversal of 481376412 is 214673184.

481376412 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 7 + 641 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (481376393) and next prime (481376431).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201412 + ... + 203787.

It is an arithmetic number, because the mean of its divisors is an integer number (28364000).

Almost surely, 2481376412 is an apocalyptic number.

It is an amenable number.

481376412 is an abundant number, since it is smaller than the sum of its proper divisors (880095588).

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

481376412 is a wasteful number, since it uses less digits than its factorization.

481376412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405223 (or 405215 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 481376412 is about 21940.2919761794. The cubic root of 481376412 is about 783.7212127427.

It can be divided in two parts, 4813 and 76412, that added together give a square (81225 = 2852).

The spelling of 481376412 in words is "four hundred eighty-one million, three hundred seventy-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 405199 810398 1215597 1620796 2431194 3646791 4457189 4862388 7293582 8914378 10940373 13371567 14587164 17828756 21880746 26743134 40114701 43761492 53486268 80229402 120344103 160458804 240688206 481376412