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481954900 = 225276111287
BaseRepresentation
bin11100101110100…
…000110001010100
31020120212211211111
4130232200301110
51441340024100
6115453544404
714641356220
oct3456406124
91216784744
10481954900
11228061939
121154a5104
1378b0771b
1448019780
152c4a16ba
hex1cba0c54

481954900 has 72 divisors (see below), whose sum is σ = 1214950016. Its totient is φ = 162518400.

The previous prime is 481954897. The next prime is 481954909. The reversal of 481954900 is 9459184.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481954909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37057 + ... + 48343.

Almost surely, 2481954900 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 481954900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607475008).

481954900 is an abundant number, since it is smaller than the sum of its proper divisors (732995116).

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

481954900 is a wasteful number, since it uses less digits than its factorization.

481954900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11369 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 481954900 is about 21953.4712517178. The cubic root of 481954900 is about 784.0350294115.

The spelling of 481954900 in words is "four hundred eighty-one million, nine hundred fifty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 350 427 610 700 854 1220 1525 1708 2135 3050 4270 6100 8540 10675 11287 21350 22574 42700 45148 56435 79009 112870 158018 225740 282175 316036 395045 564350 688507 790090 1128700 1377014 1580180 1975225 2754028 3442535 3950450 4819549 6885070 7900900 9639098 13770140 17212675 19278196 24097745 34425350 48195490 68850700 96390980 120488725 240977450 481954900