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245463264 = 2533436607
BaseRepresentation
bin11101010000101…
…11100011100000
3122002212211022000
432220113203200
51000314311024
640205044000
76040255224
oct1650274340
9562784260
10245463264
11116615202
126a256600
133bb14747
1424858784
1516839cc9
hexea178e0

245463264 has 96 divisors (see below), whose sum is σ = 732695040. Its totient is φ = 79906176.

The previous prime is 245463247. The next prime is 245463271. The reversal of 245463264 is 462364542.

245463264 is a `hidden beast` number, since 24 + 546 + 32 + 64 = 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 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 15 ways as a sum of consecutive naturals, for example, 33849 + ... + 40455.

It is an arithmetic number, because the mean of its divisors is an integer number (7632240).

Almost surely, 2245463264 is an apocalyptic number.

245463264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366347520).

245463264 is an abundant number, since it is smaller than the sum of its proper divisors (487231776).

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

245463264 is a wasteful number, since it uses less digits than its factorization.

245463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6655 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 245463264 is about 15667.2672792673. The cubic root of 245463264 is about 626.1266198906.

The spelling of 245463264 in words is "two hundred forty-five million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 6607 9288 12384 13214 18576 19821 26428 37152 39642 52856 59463 79284 105712 118926 158568 178389 211424 237852 284101 317136 356778 475704 568202 634272 713556 852303 951408 1136404 1427112 1704606 1902816 2272808 2556909 2854224 3409212 4545616 5113818 5708448 6818424 7670727 9091232 10227636 13636848 15341454 20455272 27273696 30682908 40910544 61365816 81821088 122731632 245463264