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245376480 = 2535511201
BaseRepresentation
bin11101010000000…
…10010111100000
3122002201102020210
432220002113200
51000304021410
640203134120
76036444216
oct1650022740
9562642223
10245376480
11116565a88
126a214340
133bab40ab
1424834cb6
151681e220
hexea025e0

245376480 has 48 divisors (see below), whose sum is σ = 772937424. Its totient is φ = 65433600.

The previous prime is 245376479. The next prime is 245376517. The reversal of 245376480 is 84673542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255121 + ... + 256080.

It is an arithmetic number, because the mean of its divisors is an integer number (16102863).

Almost surely, 2245376480 is an apocalyptic number.

245376480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245376480 is an abundant number, since it is smaller than the sum of its proper divisors (527560944).

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

245376480 is a wasteful number, since it uses less digits than its factorization.

245376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511219 (or 511211 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 245376480 is about 15664.4974384753. The cubic root of 245376480 is about 626.0528217769.

The spelling of 245376480 in words is "two hundred forty-five million, three hundred seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 511201 1022402 1533603 2044804 2556005 3067206 4089608 5112010 6134412 7668015 8179216 10224020 12268824 15336030 16358432 20448040 24537648 30672060 40896080 49075296 61344120 81792160 122688240 245376480