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245950528 = 2631532339
BaseRepresentation
bin11101010100011…
…10100001000000
3122010210120200211
432222032201000
51000430404103
640223323504
76044354635
oct1652164100
9563716624
10245950528
111169182aa
126a450594
133bc55475
142494418c
15168d436d
hexea8e840

245950528 has 56 divisors (see below), whose sum is σ = 513527040. Its totient is φ = 116712960.

The previous prime is 245950517. The next prime is 245950531. The reversal of 245950528 is 825059542.

245950528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103983 + ... + 106321.

Almost surely, 2245950528 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 245950528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

245950528 is an abundant number, since it is smaller than the sum of its proper divisors (267576512).

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

245950528 is a wasteful number, since it uses less digits than its factorization.

245950528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 245950528 is about 15682.8099523013. The cubic root of 245950528 is about 626.5406496772.

The spelling of 245950528 in words is "two hundred forty-five million, nine hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 212 248 424 496 848 992 1643 1696 1984 2339 3286 3392 4678 6572 9356 13144 18712 26288 37424 52576 72509 74848 105152 123967 145018 149696 247934 290036 495868 580072 991736 1160144 1983472 2320288 3842977 3966944 4640576 7685954 7933888 15371908 30743816 61487632 122975264 245950528