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245375664 = 243311031601
BaseRepresentation
bin11101010000000…
…10001010110000
3122002201101010120
432220002022300
51000304010124
640203130240
76036441642
oct1650021260
9562641116
10245375664
11116565406
126a213980
133bab3901
1424834892
151681dd79
hexea022b0

245375664 has 80 divisors (see below), whose sum is σ = 661100544. Its totient is φ = 78336000.

The previous prime is 245375657. The next prime is 245375681. The reversal of 245375664 is 466573542.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152464 + ... + 154064.

Almost surely, 2245375664 is an apocalyptic number.

245375664 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 245375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330550272).

245375664 is an abundant number, since it is smaller than the sum of its proper divisors (415724880).

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

245375664 is a wasteful number, since it uses less digits than its factorization.

245375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The square root of 245375664 is about 15664.4713922941. The cubic root of 245375664 is about 626.0521277962.

The spelling of 245375664 in words is "two hundred forty-five million, three hundred seventy-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 103 124 186 206 248 309 372 412 496 618 744 824 1236 1488 1601 1648 2472 3193 3202 4803 4944 6386 6404 9579 9606 12772 12808 19158 19212 25544 25616 38316 38424 49631 51088 76632 76848 99262 148893 153264 164903 198524 297786 329806 397048 494709 595572 659612 794096 989418 1191144 1319224 1978836 2382288 2638448 3957672 5111993 7915344 10223986 15335979 20447972 30671958 40895944 61343916 81791888 122687832 245375664