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557056720 = 245111993181
BaseRepresentation
bin100001001101000…
…000001011010000
31102211012102011101
4201031000023100
52120101303340
6131135354144
716542622033
oct4115001320
91384172141
10557056720
11266497a60
12136682954
138b54147c
1453da901a
1533d88c9a
hex213402d0

557056720 has 80 divisors (see below), whose sum is σ = 1420444800. Its totient is φ = 201484800.

The previous prime is 557056681. The next prime is 557056739. The reversal of 557056720 is 27650755.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 557056720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173530 + ... + 176710.

It is an arithmetic number, because the mean of its divisors is an integer number (17755560).

Almost surely, 2557056720 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 557056720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710222400).

557056720 is an abundant number, since it is smaller than the sum of its proper divisors (863388080).

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

557056720 is a wasteful number, since it uses less digits than its factorization.

557056720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 37.

The square root of 557056720 is about 23602.0490635877. The cubic root of 557056720 is about 822.8104635070.

The spelling of 557056720 in words is "five hundred fifty-seven million, fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1592 1990 2189 3181 3184 3980 4378 6362 7960 8756 10945 12724 15905 15920 17512 21890 25448 31810 34991 35024 43780 50896 63620 69982 87560 127240 139964 174955 175120 254480 279928 349910 559856 633019 699820 1266038 1399640 2532076 2799280 3165095 5064152 6330190 6963209 10128304 12660380 13926418 25320760 27852836 34816045 50641520 55705672 69632090 111411344 139264180 278528360 557056720