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554097312 = 253243101443
BaseRepresentation
bin100001000001101…
…101101010100000
31102121122001121200
4201001231222200
52113322103222
6130552121200
716505515026
oct4101555240
91377561550
10554097312
1126485656a
12135696200
138aa46442
1453838716
15339a1eac
hex2106daa0

554097312 has 144 divisors (see below), whose sum is σ = 1631998368. Its totient is φ = 178214400.

The previous prime is 554097283. The next prime is 554097353. The reversal of 554097312 is 213790455.

554097312 is a `hidden beast` number, since 554 + 0 + 97 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 1250563 + ... + 1251005.

It is an arithmetic number, because the mean of its divisors is an integer number (11333322).

Almost surely, 2554097312 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 554097312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815999184).

554097312 is an abundant number, since it is smaller than the sum of its proper divisors (1077901056).

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

554097312 is a wasteful number, since it uses less digits than its factorization.

554097312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 554097312 is about 23539.2716964650. The cubic root of 554097312 is about 821.3507936310.

The spelling of 554097312 in words is "five hundred fifty-four million, ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 101 129 144 172 202 258 288 303 344 387 404 443 516 606 688 774 808 886 909 1032 1212 1329 1376 1548 1616 1772 1818 2064 2424 2658 3096 3232 3544 3636 3987 4128 4343 4848 5316 6192 7088 7272 7974 8686 9696 10632 12384 13029 14176 14544 15948 17372 19049 21264 26058 29088 31896 34744 38098 39087 42528 44743 52116 57147 63792 69488 76196 78174 89486 104232 114294 127584 134229 138976 152392 156348 171441 178972 208464 228588 268458 304784 312696 342882 357944 402687 416928 457176 536916 609568 625392 685764 715888 805374 914352 1073832 1250784 1371528 1431776 1610748 1828704 1923949 2147664 2743056 3221496 3847898 4295328 5486112 5771847 6442992 7695796 11543694 12885984 15391592 17315541 23087388 30783184 34631082 46174776 61566368 69262164 92349552 138524328 184699104 277048656 554097312