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557345472 = 26341101701
BaseRepresentation
bin100001001110000…
…110101011000000
31102211202002020220
4201032012223000
52120140023342
6131145503040
716545233625
oct4116065300
91384662226
10557345472
112666749a2
121367a1a80
138b612a28
145404234c
1533de45ec
hex21386ac0

557345472 has 112 divisors (see below), whose sum is σ = 1527742944. Its totient is φ = 179200000.

The previous prime is 557345443. The next prime is 557345473. The reversal of 557345472 is 274543755.

It is not an unprimeable number, because it can be changed into a prime (557345473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 794722 + ... + 795422.

It is an arithmetic number, because the mean of its divisors is an integer number (13640562).

Almost surely, 2557345472 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 557345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763871472).

557345472 is an abundant number, since it is smaller than the sum of its proper divisors (970397472).

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

557345472 is a wasteful number, since it uses less digits than its factorization.

557345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its digits is 588000, while the sum is 42.

The square root of 557345472 is about 23608.1653670928. The cubic root of 557345472 is about 822.9526076961.

The spelling of 557345472 in words is "five hundred fifty-seven million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 101 123 164 192 202 246 303 328 404 492 606 656 701 808 984 1212 1312 1402 1616 1968 2103 2424 2624 2804 3232 3936 4141 4206 4848 5608 6464 7872 8282 8412 9696 11216 12423 16564 16824 19392 22432 24846 28741 33128 33648 44864 49692 57482 66256 67296 70801 86223 99384 114964 132512 134592 141602 172446 198768 212403 229928 265024 283204 344892 397536 424806 459856 566408 689784 795072 849612 919712 1132816 1379568 1699224 1839424 2265632 2759136 2902841 3398448 4531264 5518272 5805682 6796896 8708523 11611364 13593792 17417046 23222728 34834092 46445456 69668184 92890912 139336368 185781824 278672736 557345472