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248142480 = 24351033927
BaseRepresentation
bin11101100101001…
…01101010010000
3122021220221111020
432302211222100
51002011024410
640342315440
76102114315
oct1662455220
9567827436
10248142480
11118085133
126b128b80
133c542091
1424d54d0c
1516bb8a70
hexeca5a90

248142480 has 40 divisors (see below), whose sum is σ = 769242432. Its totient is φ = 66171264.

The previous prime is 248142443. The next prime is 248142491. The reversal of 248142480 is 84241842.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516724 + ... + 517203.

Almost surely, 2248142480 is an apocalyptic number.

248142480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248142480 is an abundant number, since it is smaller than the sum of its proper divisors (521099952).

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

248142480 is a wasteful number, since it uses less digits than its factorization.

248142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033943 (or 1033937 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 248142480 is about 15752.5388429929. The cubic root of 248142480 is about 628.3964257009.

The spelling of 248142480 in words is "two hundred forty-eight million, one hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1033927 2067854 3101781 4135708 5169635 6203562 8271416 10339270 12407124 15508905 16542832 20678540 24814248 31017810 41357080 49628496 62035620 82714160 124071240 248142480