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481042520 = 23574913499
BaseRepresentation
bin11100101011000…
…010000001011000
31020112011111021122
4130223002001120
51441121330040
6115422224412
714630536220
oct3453020130
91215144248
10481042520
11227599402
12115125108
137887835a
1447c5d080
152c3711b5
hex1cac2058

481042520 has 64 divisors (see below), whose sum is σ = 1239840000. Its totient is φ = 164545920.

The previous prime is 481042481. The next prime is 481042543. The reversal of 481042520 is 25240184.

It is a happy number.

It is a super-3 number, since 3×4810425203 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481042520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135731 + ... + 139229.

It is an arithmetic number, because the mean of its divisors is an integer number (19372500).

Almost surely, 2481042520 is an apocalyptic number.

481042520 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 481042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619920000).

481042520 is an abundant number, since it is smaller than the sum of its proper divisors (758797480).

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

481042520 is a wasteful number, since it uses less digits than its factorization.

481042520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 481042520 is about 21932.6815505993. The cubic root of 481042520 is about 783.5399694290.

The spelling of 481042520 in words is "four hundred eighty-one million, forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 491 982 1964 2455 3437 3499 3928 4910 6874 6998 9820 13748 13996 17185 17495 19640 24493 27496 27992 34370 34990 48986 68740 69980 97972 122465 137480 139960 195944 244930 489860 979720 1718009 3436018 6872036 8590045 12026063 13744072 17180090 24052126 34360180 48104252 60130315 68720360 96208504 120260630 240521260 481042520