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481376720 = 2451122232
BaseRepresentation
bin11100101100010…
…011100111010000
31020112210110201102
4130230103213100
51441213023340
6115433323532
714633430446
oct3454234720
91215713642
10481376720
112277a7500
121152665a8
13789644c6
1447d08b96
152c3da215
hex1cb139d0

481376720 has 90 divisors (see below), whose sum is σ = 1235737314. Its totient is φ = 174261120.

The previous prime is 481376717. The next prime is 481376767. The reversal of 481376720 is 27673184.

It can be written as a sum of positive squares in only one way, i.e., 385101376 + 96275344 = 19624^2 + 9812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2158529 + ... + 2158751.

Almost surely, 2481376720 is an apocalyptic number.

481376720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617868657).

481376720 is an abundant number, since it is smaller than the sum of its proper divisors (754360594).

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

481376720 is a wasteful number, since it uses less digits than its factorization.

481376720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 481376720 is about 21940.2989952279. The cubic root of 481376720 is about 783.7213798926.

The spelling of 481376720 in words is "four hundred eighty-one million, three hundred seventy-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 223 242 440 446 484 605 880 892 968 1115 1210 1784 1936 2230 2420 2453 3568 4460 4840 4906 8920 9680 9812 12265 17840 19624 24530 26983 39248 49060 49729 53966 98120 99458 107932 134915 196240 198916 215864 248645 269830 397832 431728 497290 539660 547019 795664 994580 1079320 1094038 1989160 2158640 2188076 2735095 3978320 4376152 5470190 6017209 8752304 10940380 12034418 21880760 24068836 30086045 43761520 48137672 60172090 96275344 120344180 240688360 481376720