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245364480 = 2832519259
BaseRepresentation
bin11101001111111…
…11011100000000
3122002200210210100
432213333130000
51000303130410
640203002400
76036364224
oct1647773400
9562623710
10245364480
11116557a69
126a209400
133baab7aa
1424830784
151681a8c0
hexe9ff700

245364480 has 324 divisors, whose sum is σ = 911153880. Its totient is φ = 60936192.

The previous prime is 245364479. The next prime is 245364481. The reversal of 245364480 is 84463542.

245364480 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245364479) and next prime (245364481).

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 (245364481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4158691 + ... + 4158749.

Almost surely, 2245364480 is an apocalyptic number.

245364480 is a gapful number since it is divisible by the number (20) 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 245364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455576940).

245364480 is an abundant number, since it is smaller than the sum of its proper divisors (665789400).

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

245364480 is a wasteful number, since it uses less digits than its factorization.

245364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 245364480 is about 15664.1144020337. The cubic root of 245364480 is about 626.0426160224.

The spelling of 245364480 in words is "two hundred forty-five million, three hundred sixty-four thousand, four hundred eighty".