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481381704 = 23347110463
BaseRepresentation
bin11100101100010…
…100110101001000
31020112210201120000
4130230110311020
51441213203304
6115433403000
714633451126
oct3454246510
91215721500
10481381704
11227800221
12115269460
137896685b
1447d0a916
152c3db939
hex1cb14d48

481381704 has 80 divisors (see below), whose sum is σ = 1367435520. Its totient is φ = 158185440.

The previous prime is 481381631. The next prime is 481381711. The reversal of 481381704 is 407183184.

481381704 is a `hidden beast` number, since 481 + 3 + 8 + 170 + 4 = 666.

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, 40777 + ... + 51239.

It is an arithmetic number, because the mean of its divisors is an integer number (17092944).

Almost surely, 2481381704 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 481381704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683717760).

481381704 is an abundant number, since it is smaller than the sum of its proper divisors (886053816).

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

481381704 is a wasteful number, since it uses less digits than its factorization.

481381704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 481381704 is about 21940.4125758838. The cubic root of 481381704 is about 783.7240846723.

The spelling of 481381704 in words is "four hundred eighty-one million, three hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5112 5751 7668 10463 11502 15336 20926 23004 31389 41852 46008 62778 83704 94167 125556 188334 251112 282501 376668 565002 742873 753336 847503 1130004 1485746 1695006 2228619 2260008 2971492 3390012 4457238 5942984 6685857 6780024 8914476 13371714 17828952 20057571 26743428 40115142 53486856 60172713 80230284 120345426 160460568 240690852 481381704