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245412864 = 2103231859
BaseRepresentation
bin11101010000010…
…11010000000000
3122002210021011100
432220023100000
51000311202424
640204014400
76036655254
oct1650132000
9562707140
10245412864
11116590354
126a231400
133bac7818
1424844264
1516829dc9
hexea0b400

245412864 has 132 divisors (see below), whose sum is σ = 732334720. Its totient is φ = 79073280.

The previous prime is 245412863. The next prime is 245412883. The reversal of 245412864 is 468214542.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245412863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285267 + ... + 286125.

Almost surely, 2245412864 is an apocalyptic number.

245412864 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 245412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366167360).

245412864 is an abundant number, since it is smaller than the sum of its proper divisors (486921856).

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

245412864 is a wasteful number, since it uses less digits than its factorization.

245412864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 895 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 245412864 is about 15665.6587477195. The cubic root of 245412864 is about 626.0837635908.

The spelling of 245412864 in words is "two hundred forty-five million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 859 992 1024 1116 1152 1488 1536 1718 1984 2232 2304 2577 2976 3072 3436 3968 4464 4608 5154 5952 6872 7731 7936 8928 9216 10308 11904 13744 15462 15872 17856 20616 23808 26629 27488 30924 31744 35712 41232 47616 53258 54976 61848 71424 79887 82464 95232 106516 109952 123696 142848 159774 164928 213032 219904 239661 247392 285696 319548 329856 426064 439808 479322 494784 639096 659712 852128 879616 958644 989568 1278192 1319424 1704256 1917288 1979136 2556384 2638848 3408512 3834576 3958272 5112768 6817024 7669152 7916544 10225536 13634048 15338304 20451072 27268096 30676608 40902144 61353216 81804288 122706432 245412864