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245617056 = 25332711049
BaseRepresentation
bin11101010001111…
…01000110100000
3122010011122021000
432220331012200
51000334221211
640212232000
76041465466
oct1650750640
9563148230
10245617056
1111670a803
126a30b600
133bb69749
1424898836
151686a656
hexea3d1a0

245617056 has 96 divisors (see below), whose sum is σ = 719712000. Its totient is φ = 81492480.

The previous prime is 245616991. The next prime is 245617067. The reversal of 245617056 is 650716542.

It is a happy number.

245617056 is a `hidden beast` number, since 24 + 561 + 70 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 245617056.

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 15 ways as a sum of consecutive naturals, for example, 233620 + ... + 234668.

It is an arithmetic number, because the mean of its divisors is an integer number (7497000).

Almost surely, 2245617056 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 245617056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

245617056 is an abundant number, since it is smaller than the sum of its proper divisors (474094944).

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

245617056 is a wasteful number, since it uses less digits than its factorization.

245617056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 245617056 is about 15672.1745778944. The cubic root of 245617056 is about 626.2573565775.

The spelling of 245617056 in words is "two hundred forty-five million, six hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 271 288 432 542 813 864 1049 1084 1626 2098 2168 2439 3147 3252 4196 4336 4878 6294 6504 7317 8392 8672 9441 9756 12588 13008 14634 16784 18882 19512 25176 26016 28323 29268 33568 37764 39024 50352 56646 58536 75528 78048 100704 113292 117072 151056 226584 234144 284279 302112 453168 568558 852837 906336 1137116 1705674 2274232 2558511 3411348 4548464 5117022 6822696 7675533 9096928 10234044 13645392 15351066 20468088 27290784 30702132 40936176 61404264 81872352 122808528 245617056