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481554342 = 23317259523
BaseRepresentation
bin11100101100111…
…110111110100110
31020120010111101000
4130230332332212
51441234214332
6115441214130
714635100343
oct3454767646
91216114330
10481554342
112279089a5
12115331346
13789c72c9
1447d537ca
152c422b7c
hex1cb3efa6

481554342 has 96 divisors (see below), whose sum is σ = 1158249600. Its totient is φ = 148231296.

The previous prime is 481554319. The next prime is 481554349. The reversal of 481554342 is 243455184.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 481554297 and 481554306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481554349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920493 + ... + 921015.

It is an arithmetic number, because the mean of its divisors is an integer number (12065100).

Almost surely, 2481554342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481554342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579124800).

481554342 is an abundant number, since it is smaller than the sum of its proper divisors (676695258).

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

481554342 is a wasteful number, since it uses less digits than its factorization.

481554342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 481554342 is about 21944.3464701048. The cubic root of 481554342 is about 783.8177625072.

The spelling of 481554342 in words is "four hundred eighty-one million, five hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 289 306 354 459 523 531 578 867 918 1003 1046 1062 1569 1593 1734 2006 2601 3009 3138 3186 4707 5202 6018 7803 8891 9027 9414 14121 15606 17051 17782 18054 26673 27081 28242 30857 34102 51153 53346 54162 61714 80019 92571 102306 151147 153459 160038 185142 240057 277713 302294 306918 453441 460377 480114 524569 555426 833139 906882 920754 1049138 1360323 1573707 1666278 2720646 3147414 4080969 4721121 8161938 8917673 9442242 14163363 17835346 26753019 28326726 53506038 80259057 160518114 240777171 481554342