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481378260 = 2235111275743
BaseRepresentation
bin11100101100010…
…011111111010100
31020112210112211110
4130230103333110
51441213101020
6115433335020
714633435106
oct3454237724
91215715743
10481378260
112277a8680
12115267470
137896510c
1447d09576
152c3da8e0
hex1cb13fd4

481378260 has 96 divisors (see below), whose sum is σ = 1482227712. Its totient is φ = 115758720.

The previous prime is 481378241. The next prime is 481378291. The reversal of 481378260 is 62873184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80949 + ... + 86691.

It is an arithmetic number, because the mean of its divisors is an integer number (15439872).

Almost surely, 2481378260 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 481378260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741113856).

481378260 is an abundant number, since it is smaller than the sum of its proper divisors (1000849452).

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

481378260 is a wasteful number, since it uses less digits than its factorization.

481378260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5893 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 481378260 is about 21940.3340904372. The cubic root of 481378260 is about 783.7222156411.

The spelling of 481378260 in words is "four hundred eighty-one million, three hundred seventy-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 127 132 165 220 254 330 381 508 635 660 762 1270 1397 1524 1905 2540 2794 3810 4191 5588 5743 6985 7620 8382 11486 13970 16764 17229 20955 22972 27940 28715 34458 41910 57430 63173 68916 83820 86145 114860 126346 172290 189519 252692 315865 344580 379038 631730 729361 758076 947595 1263460 1458722 1895190 2188083 2917444 3646805 3790380 4376166 7293610 8022971 8752332 10940415 14587220 16045942 21880830 24068913 32091884 40114855 43761660 48137826 80229710 96275652 120344565 160459420 240689130 481378260