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557152134 = 237118111487
BaseRepresentation
bin100001001101010…
…111011110000110
31102211101021001020
4201031113132012
52120112332014
6131141412010
716543500150
oct4115273606
91384337036
10557152134
11266552710
1213670a006
138b575a26
1453dd1ad0
1533da71a9
hex21357786

557152134 has 64 divisors (see below), whose sum is σ = 1391910912. Its totient is φ = 144439200.

The previous prime is 557152121. The next prime is 557152159. The reversal of 557152134 is 431251755.

557152134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 557152095 and 557152104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373939 + ... + 375425.

It is an arithmetic number, because the mean of its divisors is an integer number (21748608).

Almost surely, 2557152134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557152134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695955456).

557152134 is an abundant number, since it is smaller than the sum of its proper divisors (834758778).

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

557152134 is a wasteful number, since it uses less digits than its factorization.

557152134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321.

The product of its digits is 21000, while the sum is 33.

The square root of 557152134 is about 23604.0702845929. The cubic root of 557152134 is about 822.8574384696.

The spelling of 557152134 in words is "five hundred fifty-seven million, one hundred fifty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 811 1487 1622 2433 2974 4461 4866 5677 8921 8922 10409 11354 16357 17031 17842 20818 26763 31227 32714 34062 49071 53526 62447 62454 98142 114499 124894 187341 228998 343497 374682 686994 1205957 2411914 3617871 7235742 8441699 13265527 16883398 25325097 26531054 39796581 50650194 79593162 92858689 185717378 278576067 557152134