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484031900 = 2252111313359
BaseRepresentation
bin11100110110011…
…011110110011100
31020201210100221102
4130312123312130
51442403010100
6120010252232
714665126502
oct3466336634
91221710842
10484031900
11229250370
12116127078
1379383c11
14483da672
152c761cd5
hex1cd9bd9c

484031900 has 72 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 174616000.

The previous prime is 484031893. The next prime is 484031903. The reversal of 484031900 is 9130484.

It is a super-2 number, since 2×4840319002 = 468573760435220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484031903) 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, 142421 + ... + 145779.

It is an arithmetic number, because the mean of its divisors is an integer number (16040640).

Almost surely, 2484031900 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 484031900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

484031900 is an abundant number, since it is smaller than the sum of its proper divisors (670894180).

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

484031900 is a wasteful number, since it uses less digits than its factorization.

484031900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 484031900 is about 22000.7249880544. The cubic root of 484031900 is about 785.1596900165.

The spelling of 484031900 in words is "four hundred eighty-four million, thirty-one thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 3359 5764 6550 6718 7205 13100 13436 14410 16795 28820 33590 36025 36949 67180 72050 73898 83975 144100 147796 167950 184745 335900 369490 440029 738980 880058 923725 1760116 1847450 2200145 3694900 4400290 4840319 8800580 9680638 11000725 19361276 22001450 24201595 44002900 48403190 96806380 121007975 242015950 484031900