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481421520 = 243255711171
BaseRepresentation
bin11100101100011…
…110100011010000
31020112212202011200
4130230132203100
51441220442040
6115434311200
714634005166
oct3454364320
91215782150
10481421520
11227828128
12115288500
137897ba08
1447d1b236
152c3e8630
hex1cb1e8d0

481421520 has 120 divisors (see below), whose sum is σ = 1620988512. Its totient is φ = 128044800.

The previous prime is 481421519. The next prime is 481421527. The reversal of 481421520 is 25124184.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4814215202 = 463533359838220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481421527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410535 + ... + 411705.

Almost surely, 2481421520 is an apocalyptic number.

481421520 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 481421520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810494256).

481421520 is an abundant number, since it is smaller than the sum of its proper divisors (1139566992).

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

481421520 is a wasteful number, since it uses less digits than its factorization.

481421520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 481421520 is about 21941.3199238332. The cubic root of 481421520 is about 783.7456918485.

The spelling of 481421520 in words is "four hundred eighty-one million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 571 720 1142 1171 1713 2284 2342 2855 3426 3513 4568 4684 5139 5710 5855 6852 7026 8565 9136 9368 10278 10539 11420 11710 13704 14052 17130 17565 18736 20556 21078 22840 23420 25695 27408 28104 34260 35130 41112 42156 45680 46840 51390 52695 56208 68520 70260 82224 84312 93680 102780 105390 137040 140520 168624 205560 210780 281040 411120 421560 668641 843120 1337282 2005923 2674564 3343205 4011846 5349128 6017769 6686410 8023692 10029615 10698256 12035538 13372820 16047384 20059230 24071076 26745640 30088845 32094768 40118460 48142152 53491280 60177690 80236920 96284304 120355380 160473840 240710760 481421520