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48003984 = 2432747623
BaseRepresentation
bin1011011100011…
…1101110010000
310100022212002100
42313013232100
544242111414
64432520400
71122012210
oct267075620
9110285070
1048003984
1125108116
12140b0100
139c39a32
146538240
154333609
hex2dc7b90

48003984 has 60 divisors (see below), whose sum is σ = 153539776. Its totient is φ = 13715136.

The previous prime is 48003979. The next prime is 48004003. The reversal of 48003984 is 48930084.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22804 + ... + 24819.

Almost surely, 248003984 is an apocalyptic number.

It is an amenable number.

48003984 is an abundant number, since it is smaller than the sum of its proper divisors (105535792).

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

48003984 is a wasteful number, since it uses less digits than its factorization.

48003984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47644 (or 47635 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48003984 is about 6928.4907447438. The cubic root of 48003984 is about 363.4341730222.

The spelling of 48003984 in words is "forty-eight million, three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 47623 95246 142869 190492 285738 333361 380984 428607 571476 666722 761968 857214 1000083 1142952 1333444 1714428 2000166 2285904 2666888 3000249 3428856 4000332 5333776 6000498 6857712 8000664 12000996 16001328 24001992 48003984