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248468840 = 23515114111
BaseRepresentation
bin11101100111101…
…01010101101000
3122022112112011122
432303311111220
51002102000330
640353314412
76104643644
oct1663652550
9568475148
10248468840
11118288354
126b265a08
133c6277a9
1424ddbc24
1516c305e5
hexecf5568

248468840 has 32 divisors (see below), whose sum is σ = 559560960. Its totient is φ = 99297600.

The previous prime is 248468827. The next prime is 248468863. The reversal of 248468840 is 48864842.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 248468791 and 248468800.

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, 58385 + ... + 62495.

It is an arithmetic number, because the mean of its divisors is an integer number (17486280).

Almost surely, 2248468840 is an apocalyptic number.

248468840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248468840 is an abundant number, since it is smaller than the sum of its proper divisors (311092120).

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

248468840 is a wasteful number, since it uses less digits than its factorization.

248468840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 248468840 is about 15762.8944042647. The cubic root of 248468840 is about 628.6717965465.

The spelling of 248468840 in words is "two hundred forty-eight million, four hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1511 3022 4111 6044 7555 8222 12088 15110 16444 20555 30220 32888 41110 60440 82220 164440 6211721 12423442 24846884 31058605 49693768 62117210 124234420 248468840