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481553020 = 225131919697
BaseRepresentation
bin11100101100111…
…110101001111100
31020120010102120001
4130230332221330
51441234144040
6115441204044
714635063444
oct3454765174
91216112501
10481553020
11227907a03
12115330624
13789c6820
1447d53124
152c42259a
hex1cb3ea7c

481553020 has 48 divisors (see below), whose sum is σ = 1094865408. Its totient is φ = 176855040.

The previous prime is 481553011. The next prime is 481553021. The reversal of 481553020 is 20355184.

It is a super-2 number, since 2×4815530202 = 463786622142240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481553020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481553021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44812 + ... + 54508.

It is an arithmetic number, because the mean of its divisors is an integer number (22809696).

Almost surely, 2481553020 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 481553020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547432704).

481553020 is an abundant number, since it is smaller than the sum of its proper divisors (613312388).

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

481553020 is a wasteful number, since it uses less digits than its factorization.

481553020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 481553020 is about 21944.3163484306. The cubic root of 481553020 is about 783.8170452410.

The spelling of 481553020 in words is "four hundred eighty-one million, five hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 191 260 382 764 955 1910 2483 3820 4966 9697 9932 12415 19394 24830 38788 48485 49660 96970 126061 193940 252122 504244 630305 1260610 1852127 2521220 3704254 7408508 9260635 18521270 24077651 37042540 48155302 96310604 120388255 240776510 481553020