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553911408 = 2432171911909
BaseRepresentation
bin100001000001000…
…000010001110000
31102121021121121100
4201001000101300
52113300131113
6130544124400
716504112031
oct4101002160
91377247540
10553911408
11264739926
12135606700
138a9ac93b
14537caa88
1533966d73
hex21040470

553911408 has 120 divisors (see below), whose sum is σ = 1727902800. Its totient is φ = 164616192.

The previous prime is 553911377. The next prime is 553911409. The reversal of 553911408 is 804119355.

553911408 is a `hidden beast` number, since 5 + 539 + 114 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553911409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40558 + ... + 52466.

It is an arithmetic number, because the mean of its divisors is an integer number (14399190).

Almost surely, 2553911408 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 553911408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863951400).

553911408 is an abundant number, since it is smaller than the sum of its proper divisors (1173991392).

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

553911408 is a wasteful number, since it uses less digits than its factorization.

553911408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 553911408 is about 23535.3225599311. The cubic root of 553911408 is about 821.2589268089.

The spelling of 553911408 in words is "five hundred fifty-three million, nine hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 5168 5814 7752 11628 11909 15504 23256 23818 35727 46512 47636 71454 95272 107181 142908 190544 202453 214362 226271 285816 404906 428724 452542 571632 607359 678813 809812 857448 905084 1214718 1357626 1619624 1714896 1810168 1822077 2036439 2429436 2715252 3239248 3620336 3644154 3846607 4072878 4858872 5430504 7288308 7693214 8145756 9717744 10861008 11539821 14576616 15386428 16291512 23079642 29153232 30772856 32583024 34619463 46159284 61545712 69238926 92318568 138477852 184637136 276955704 553911408