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47040672 = 253770001
BaseRepresentation
bin1011001101110…
…0100010100000
310021111220200010
42303130202200
544020300142
64400124520
71110560550
oct263344240
9107456603
1047040672
112460a398
1213906740
139990423
146367160
1541e2e9c
hex2cdc8a0

47040672 has 48 divisors (see below), whose sum is σ = 141124032. Its totient is φ = 13440000.

The previous prime is 47040661. The next prime is 47040677. The reversal of 47040672 is 27604074.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×470406723 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47040677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34329 + ... + 35672.

It is an arithmetic number, because the mean of its divisors is an integer number (2940084).

Almost surely, 247040672 is an apocalyptic number.

47040672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47040672 is an abundant number, since it is smaller than the sum of its proper divisors (94083360).

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

47040672 is a wasteful number, since it uses less digits than its factorization.

47040672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70021 (or 70013 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47040672 is about 6858.6202694128. The cubic root of 47040672 is about 360.9866759968.

The spelling of 47040672 in words is "forty-seven million, forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 70001 140002 210003 280004 420006 490007 560008 840012 980014 1120016 1470021 1680024 1960028 2240032 2940042 3360048 3920056 5880084 6720096 7840112 11760168 15680224 23520336 47040672