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554139168 = 25311539901
BaseRepresentation
bin100001000001110…
…111111000100000
31102121201012000220
4201001313320200
52113324423133
6130553043040
716506051042
oct4101677040
91377635026
10554139168
11264884a60
121356b6480
138aa5c4cb
1453849a92
15339ae5b3
hex21077e20

554139168 has 96 divisors (see below), whose sum is σ = 1616956992. Its totient is φ = 164736000.

The previous prime is 554139143. The next prime is 554139169. The reversal of 554139168 is 861931455.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (554139169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51018 + ... + 60918.

It is an arithmetic number, because the mean of its divisors is an integer number (16843302).

Almost surely, 2554139168 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 554139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808478496).

554139168 is an abundant number, since it is smaller than the sum of its proper divisors (1062817824).

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

554139168 is a wasteful number, since it uses less digits than its factorization.

554139168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9970 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 554139168 is about 23540.1607471147. The cubic root of 554139168 is about 821.3714744708.

The spelling of 554139168 in words is "five hundred fifty-four million, one hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 9901 13992 18656 19802 27984 29703 39604 55968 59406 79208 108911 118812 158416 217822 237624 316832 326733 435644 475248 524753 653466 871288 950496 1049506 1306932 1574259 1742576 2099012 2613864 3148518 3485152 4198024 5227728 5772283 6297036 8396048 10455456 11544566 12594072 16792096 17316849 23089132 25188144 34633698 46178264 50376288 69267396 92356528 138534792 184713056 277069584 554139168