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48753040 = 2457212437
BaseRepresentation
bin1011100111111…
…0100110010000
310101201220121011
42321332212100
544440044130
64500540304
71131252100
oct271764620
9111656534
1048753040
1125579976
12143b1694
13a13c96b
146691200
15443052a
hex2e7e990

48753040 has 60 divisors (see below), whose sum is σ = 131867676. Its totient is φ = 16713984.

The previous prime is 48753011. The next prime is 48753101. The reversal of 48753040 is 4035784.

It can be written as a sum of positive squares in 2 ways, for example, as 7997584 + 40755456 = 2828^2 + 6384^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48752993 and 48753011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2299 + ... + 10138.

Almost surely, 248753040 is an apocalyptic number.

48753040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48753040 is an abundant number, since it is smaller than the sum of its proper divisors (83114636).

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

48753040 is a wasteful number, since it uses less digits than its factorization.

48753040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12464 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 48753040 is about 6982.3377174124. The cubic root of 48753040 is about 365.3147719390.

The spelling of 48753040 in words is "forty-eight million, seven hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 12437 24874 49748 62185 87059 99496 124370 174118 198992 248740 348236 435295 497480 609413 696472 870590 994960 1218826 1392944 1741180 2437652 3047065 3482360 4875304 6094130 6964720 9750608 12188260 24376520 48753040