Search a number
-
+
554456430 = 2325112831979
BaseRepresentation
bin100001000011000…
…101010101101110
31102122022022020100
4201003011111232
52113420101210
6131003531530
716511542023
oct4103052556
91378268210
10554456430
11264a81360
12135829ba6
138ab40a38
14538cd54a
1533a235c0
hex210c556e

554456430 has 96 divisors (see below), whose sum is σ = 1578994560. Its totient is φ = 133871040.

The previous prime is 554456401. The next prime is 554456437. The reversal of 554456430 is 34654455.

554456430 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 5 + 643 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554456437) 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 47 ways as a sum of consecutive naturals, for example, 279181 + ... + 281159.

It is an arithmetic number, because the mean of its divisors is an integer number (16447860).

Almost surely, 2554456430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554456430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789497280).

554456430 is an abundant number, since it is smaller than the sum of its proper divisors (1024538130).

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

554456430 is a wasteful number, since it uses less digits than its factorization.

554456430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 554456430 is about 23546.8985218861. The cubic root of 554456430 is about 821.5281981819.

The spelling of 554456430 in words is "five hundred fifty-four million, four hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 283 330 495 566 849 990 1415 1698 1979 2547 2830 3113 3958 4245 5094 5937 6226 8490 9339 9895 11874 12735 15565 17811 18678 19790 21769 25470 28017 29685 31130 35622 43538 46695 56034 59370 65307 89055 93390 108845 130614 140085 178110 195921 217690 280170 326535 391842 560057 653070 979605 1120114 1680171 1959210 2800285 3360342 5040513 5600570 6160627 8400855 10081026 12321254 16801710 18481881 25202565 30803135 36963762 50405130 55445643 61606270 92409405 110891286 184818810 277228215 554456430