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554045268 = 223731263809
BaseRepresentation
bin100001000001100…
…000111101010100
31102121112102020010
4201001200331110
52113313422033
6130551040220
716505210220
oct4101407524
91377472203
10554045268
11264820457
12135670070
138aa2884a
1453823780
1533991863
hex21060f54

554045268 has 96 divisors (see below), whose sum is σ = 1532805120. Its totient is φ = 152421120.

The previous prime is 554045257. The next prime is 554045287. The reversal of 554045268 is 862540455.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684448 + ... + 685256.

It is an arithmetic number, because the mean of its divisors is an integer number (15966720).

Almost surely, 2554045268 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 554045268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766402560).

554045268 is an abundant number, since it is smaller than the sum of its proper divisors (978759852).

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

554045268 is a wasteful number, since it uses less digits than its factorization.

554045268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 554045268 is about 23538.1661987505. The cubic root of 554045268 is about 821.3250774988.

The spelling of 554045268 in words is "five hundred fifty-four million, forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 263 372 434 526 651 789 809 868 1052 1302 1578 1618 1841 2427 2604 3156 3236 3682 4854 5523 5663 7364 8153 9708 11046 11326 16306 16989 22092 22652 24459 25079 32612 33978 48918 50158 57071 67956 75237 97836 100316 114142 150474 171213 175553 212767 228284 300948 342426 351106 425534 526659 638301 684852 702212 851068 1053318 1276602 1489369 2106636 2553204 2978738 4468107 5957476 6595777 8936214 13191554 17872428 19787331 26383108 39574662 46170439 79149324 92340878 138511317 184681756 277022634 554045268