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481486272 = 26397103251
BaseRepresentation
bin11100101100101…
…110010111000000
31020120000000222220
4130230232113000
51441230030042
6115435531040
714634365031
oct3454562700
91216000886
10481486272
11227871843
121152b9a80
13789a2327
1447d36a88
152c40c8ec
hex1cb2e5c0

481486272 has 112 divisors (see below), whose sum is σ = 1304739072. Its totient is φ = 156672000.

The previous prime is 481486267. The next prime is 481486303. The reversal of 481486272 is 272684184.

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, 1918147 + ... + 1918397.

It is an arithmetic number, because the mean of its divisors is an integer number (11649456).

Almost surely, 2481486272 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 481486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652369536).

481486272 is an abundant number, since it is smaller than the sum of its proper divisors (823252800).

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

481486272 is a wasteful number, since it uses less digits than its factorization.

481486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 481486272 is about 21942.7954463418. The cubic root of 481486272 is about 783.7808286422.

The spelling of 481486272 in words is "four hundred eighty-one million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 103 192 194 206 251 291 309 388 412 502 582 618 753 776 824 1004 1164 1236 1506 1552 1648 2008 2328 2472 3012 3104 3296 4016 4656 4944 6024 6208 6592 8032 9312 9888 9991 12048 16064 18624 19776 19982 24096 24347 25853 29973 39964 48192 48694 51706 59946 73041 77559 79928 97388 103412 119892 146082 155118 159856 194776 206824 239784 292164 310236 319712 389552 413648 479568 584328 620472 639424 779104 827296 959136 1168656 1240944 1558208 1654592 1918272 2337312 2481888 2507741 4674624 4963776 5015482 7523223 10030964 15046446 20061928 30092892 40123856 60185784 80247712 120371568 160495424 240743136 481486272