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558416080 = 245192315973
BaseRepresentation
bin100001010010001…
…100000011010000
31102220202110212001
4201102030003100
52120423303310
6131224443344
716560313135
oct4122140320
91386673761
10558416080
112672362a2
12137019554
138b8c9121
145424058c
153405693a
hex2148c0d0

558416080 has 80 divisors (see below), whose sum is σ = 1426158720. Its totient is φ = 202397184.

The previous prime is 558416063. The next prime is 558416081. The reversal of 558416080 is 80614855.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558416081) 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, 26974 + ... + 42946.

It is an arithmetic number, because the mean of its divisors is an integer number (17826984).

Almost surely, 2558416080 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 558416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713079360).

558416080 is an abundant number, since it is smaller than the sum of its proper divisors (867742640).

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

558416080 is a wasteful number, since it uses less digits than its factorization.

558416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16022 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 558416080 is about 23630.8290163507. The cubic root of 558416080 is about 823.4792087284.

The spelling of 558416080 in words is "five hundred fifty-eight million, four hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 15973 17480 31946 34960 63892 79865 127784 159730 255568 303487 319460 367379 606974 638920 734758 1213948 1277840 1469516 1517435 1836895 2427896 2939032 3034870 3673790 4855792 5878064 6069740 6980201 7347580 12139480 13960402 14695160 24278960 27920804 29390320 34901005 55841608 69802010 111683216 139604020 279208040 558416080