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245463008 = 25710310639
BaseRepresentation
bin11101010000101…
…11011111100000
3122002212210221112
432220113133200
51000314304013
640205042452
76040254410
oct1650273740
9562783845
10245463008
11116614a9a
126a256428
133bb145ab
1424858640
1516839ba8
hexea177e0

245463008 has 48 divisors (see below), whose sum is σ = 557706240. Its totient is φ = 104167296.

The previous prime is 245462993. The next prime is 245463073. The reversal of 245463008 is 800364542.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17753 + ... + 28391.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 2245463008 is an apocalyptic number.

245463008 is a gapful number since it is divisible by the number (28) 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 245463008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

245463008 is an abundant number, since it is smaller than the sum of its proper divisors (312243232).

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

245463008 is a wasteful number, since it uses less digits than its factorization.

245463008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 245463008 is about 15667.2591093656. The cubic root of 245463008 is about 626.1264022226.

The spelling of 245463008 in words is "two hundred forty-five million, four hundred sixty-three thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5768 10639 11536 21278 23072 42556 74473 85112 148946 170224 297892 340448 595784 1095817 1191568 2191634 2383136 4383268 7670719 8766536 15341438 17533072 30682876 35066144 61365752 122731504 245463008