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245995056 = 2434672833
BaseRepresentation
bin11101010100110…
…01011000110000
3122010212211210000
432222121120300
51000433320211
640224310000
76044631516
oct1652313060
9563784700
10245995056
111169487aa
126a472300
133bc6c808
14249564b6
15168e2656
hexea99630

245995056 has 100 divisors (see below), whose sum is σ = 722862712. Its totient is φ = 80745984.

The previous prime is 245995027. The next prime is 245995069. The reversal of 245995056 is 650599542.

It is a happy number.

245995056 is a `hidden beast` number, since 2 + 4 + 599 + 5 + 0 + 56 = 666.

245995056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85416 + ... + 88248.

Almost surely, 2245995056 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 245995056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361431356).

245995056 is an abundant number, since it is smaller than the sum of its proper divisors (476867656).

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

245995056 is a wasteful number, since it uses less digits than its factorization.

245995056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 245995056 is about 15684.2295316028. The cubic root of 245995056 is about 626.5784579833.

The spelling of 245995056 in words is "two hundred forty-five million, nine hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 1072 1206 1296 1608 1809 2412 2833 3216 3618 4824 5427 5666 7236 8499 9648 10854 11332 14472 16998 21708 22664 25497 28944 33996 43416 45328 50994 67992 76491 86832 101988 135984 152982 189811 203976 229473 305964 379622 407952 458946 569433 611928 759244 917892 1138866 1223856 1518488 1708299 1835784 2277732 3036976 3416598 3671568 4555464 5124897 6833196 9110928 10249794 13666392 15374691 20499588 27332784 30749382 40999176 61498764 81998352 122997528 245995056