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554906430 = 233513212161
BaseRepresentation
bin100001000100110…
…011001100111110
31102200011011112000
4201010303030332
52114024001210
6131021323130
716515425001
oct4104631476
91380134460
10554906430
11265259461
12135a064a6
138ac6a800
14539a9538
1533ab1ac0
hex2113333e

554906430 has 96 divisors (see below), whose sum is σ = 1602465120. Its totient is φ = 136581120.

The previous prime is 554906413. The next prime is 554906467. The reversal of 554906430 is 34609455.

It is a happy number.

554906430 is a `hidden beast` number, since 5 + 5 + 4 + 9 + 0 + 643 + 0 = 666.

It is a super-2 number, since 2×5549064302 = 615842292110689800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39550 + ... + 51710.

It is an arithmetic number, because the mean of its divisors is an integer number (16692345).

Almost surely, 2554906430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554906430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801232560).

554906430 is an abundant number, since it is smaller than the sum of its proper divisors (1047558690).

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

554906430 is a wasteful number, since it uses less digits than its factorization.

554906430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12203 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 554906430 is about 23556.4519824187. The cubic root of 554906430 is about 821.7503904052.

The spelling of 554906430 in words is "five hundred fifty-four million, nine hundred six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2535 3042 3510 4563 5070 7605 9126 12161 15210 22815 24322 36483 45630 60805 72966 109449 121610 158093 182415 218898 316186 328347 364830 474279 547245 656694 790465 948558 1094490 1422837 1580930 1641735 2055209 2371395 2845674 3283470 4110418 4268511 4742790 6165627 7114185 8537022 10276045 12331254 14228370 18496881 20552090 21342555 30828135 36993762 42685110 55490643 61656270 92484405 110981286 184968810 277453215 554906430