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481472100 = 22345259441
BaseRepresentation
bin11100101100101…
…010111001100100
31020112222022120000
4130230222321210
51441224101400
6115435341300
714634305514
oct3454527144
91215868500
10481472100
1122786212a
121152b1830
1378998a45
1447d31844
152c408600
hex1cb2ae64

481472100 has 90 divisors (see below), whose sum is σ = 1560768594. Its totient is φ = 128390400.

The previous prime is 481472099. The next prime is 481472149. The reversal of 481472100 is 1274184.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 481451364 = 144^2 + 21942^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21621 + ... + 37820.

Almost surely, 2481472100 is an apocalyptic number.

It is an amenable number.

481472100 is an abundant number, since it is smaller than the sum of its proper divisors (1079296494).

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

481472100 is a wasteful number, since it uses less digits than its factorization.

481472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59467 (or 59451 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 481472100 is about 21942.4725133700. The cubic root of 481472100 is about 783.7731386681.

The spelling of 481472100 in words is "four hundred eighty-one million, four hundred seventy-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 59441 118882 178323 237764 297205 356646 534969 594410 713292 891615 1069938 1188820 1486025 1604907 1783230 2139876 2674845 2972050 3209814 3566460 4458075 4814721 5349690 5944100 6419628 8024535 8916150 9629442 10699380 13374225 16049070 17832300 19258884 24073605 26748450 32098140 40122675 48147210 53496900 80245350 96294420 120368025 160490700 240736050 481472100