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481463190 = 23551315241
BaseRepresentation
bin11100101100101…
…000101110010110
31020112221212100000
4130230220232112
51441223310230
6115435232130
714634240525
oct3454505626
91215855300
10481463190
1122785646a
121152a8646
1378994980
1447d2c4bc
152c405b60
hex1cb28b96

481463190 has 96 divisors (see below), whose sum is σ = 1398118176. Its totient is φ = 118506240.

The previous prime is 481463189. The next prime is 481463197. The reversal of 481463190 is 91364184.

481463190 is a `hidden beast` number, since 4 + 8 + 1 + 463 + 190 = 666.

It is a super-2 number, since 2×4814631902 = 463613606649952200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481463197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23970 + ... + 39210.

It is an arithmetic number, because the mean of its divisors is an integer number (14563731).

Almost surely, 2481463190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481463190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699059088).

481463190 is an abundant number, since it is smaller than the sum of its proper divisors (916654986).

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

481463190 is a wasteful number, since it uses less digits than its factorization.

481463190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15276 (or 15264 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 481463190 is about 21942.2694815281. The cubic root of 481463190 is about 783.7683038696.

The spelling of 481463190 in words is "four hundred eighty-one million, four hundred sixty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 243 270 351 390 405 486 585 702 810 1053 1170 1215 1755 2106 2430 3159 3510 5265 6318 10530 15241 15795 30482 31590 45723 76205 91446 137169 152410 198133 228615 274338 396266 411507 457230 594399 685845 823014 990665 1188798 1234521 1371690 1783197 1981330 2057535 2469042 2971995 3566394 3703563 4115070 5349591 5943990 6172605 7407126 8915985 10699182 12345210 16048773 17831970 18517815 26747955 32097546 37035630 48146319 53495910 80243865 96292638 160487730 240731595 481463190