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481431924 = 22343594139
BaseRepresentation
bin11100101100100…
…001000101110100
31020112220021110000
4130230201011310
51441221310144
6115434431300
714634050421
oct3454410564
91215807400
10481431924
11227834a26
12115292530
137898367c
1447d20d48
152c3eb769
hex1cb21174

481431924 has 60 divisors (see below), whose sum is σ = 1262368800. Its totient is φ = 159991632.

The previous prime is 481431919. The next prime is 481431931. The reversal of 481431924 is 429134184.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114247 + ... + 118385.

It is an arithmetic number, because the mean of its divisors is an integer number (21039480).

Almost surely, 2481431924 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 481431924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631184400).

481431924 is an abundant number, since it is smaller than the sum of its proper divisors (780936876).

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

481431924 is a wasteful number, since it uses less digits than its factorization.

481431924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4503 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 481431924 is about 21941.5570094741. The cubic root of 481431924 is about 783.7513376502.

The spelling of 481431924 in words is "four hundred eighty-one million, four hundred thirty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 359 718 1077 1436 2154 3231 4139 4308 6462 8278 9693 12417 12924 16556 19386 24834 29079 37251 38772 49668 58158 74502 111753 116316 149004 223506 335259 447012 670518 1341036 1485901 2971802 4457703 5943604 8915406 13373109 17830812 26746218 40119327 53492436 80238654 120357981 160477308 240715962 481431924