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554052096 = 2933133083
BaseRepresentation
bin100001000001100…
…010101000000000
31102121112202121000
4201001202220000
52113314131341
6130551132000
716505236143
oct4101425000
91377482530
10554052096
112648255a4
12135674000
138aa2b9a0
145382605a
15339938b6
hex21062a00

554052096 has 160 divisors (see below), whose sum is σ = 1766761920. Its totient is φ = 170422272.

The previous prime is 554052073. The next prime is 554052101. The reversal of 554052096 is 690250455.

554052096 is a `hidden beast` number, since 5 + 5 + 40 + 520 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 554052096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178171 + ... + 181253.

It is an arithmetic number, because the mean of its divisors is an integer number (11042262).

Almost surely, 2554052096 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 554052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883380960).

554052096 is an abundant number, since it is smaller than the sum of its proper divisors (1212709824).

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

554052096 is a wasteful number, since it uses less digits than its factorization.

554052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 554052096 is about 23538.3112393392. The cubic root of 554052096 is about 821.3284514618.

The spelling of 554052096 in words is "five hundred fifty-four million, fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3083 3328 3456 3744 4608 4992 5616 6166 6656 6912 7488 9249 9984 11232 12332 13824 14976 18498 19968 22464 24664 27747 29952 36996 40079 44928 49328 55494 59904 73992 80158 83241 89856 98656 110988 120237 147984 160316 166482 179712 197312 221976 240474 295968 320632 332964 360711 394624 443952 480948 591936 641264 665928 721422 789248 887904 961896 1082133 1183872 1282528 1331856 1442844 1578496 1775808 1923792 2164266 2367744 2565056 2663712 2885688 3551616 3847584 4328532 4735488 5130112 5327424 5771376 7103232 7695168 8657064 10260224 10654848 11542752 14206464 15390336 17314128 20520448 21309696 23085504 30780672 34628256 42619392 46171008 61561344 69256512 92342016 138513024 184684032 277026048 554052096