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245619984 = 2435117083
BaseRepresentation
bin11101010001111…
…01110100010000
3122010011210021110
432220331310100
51000334314414
640212253320
76041510151
oct1650756420
9563153243
10245619984
11116711a25
126a311240
133bb6ab8c
1424899928
151686b459
hexea3dd10

245619984 has 20 divisors (see below), whose sum is σ = 634518416. Its totient is φ = 81873312.

The previous prime is 245619953. The next prime is 245620003. The reversal of 245619984 is 489916542.

245619984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 5117083 = 245619984 / (2 + 4 + 5 + 6 + 1 + 9 + 9 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2558494 + ... + 2558589.

Almost surely, 2245619984 is an apocalyptic number.

245619984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245619984 is an abundant number, since it is smaller than the sum of its proper divisors (388898432).

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

245619984 is a wasteful number, since it uses less digits than its factorization.

245619984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117094 (or 5117088 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 245619984 is about 15672.2679915831. The cubic root of 245619984 is about 626.2598451048.

The spelling of 245619984 in words is "two hundred forty-five million, six hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 5117083 10234166 15351249 20468332 30702498 40936664 61404996 81873328 122809992 245619984