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47740640 = 2552312973
BaseRepresentation
bin1011011000011…
…1011011100000
310022211110211212
42312013123200
544210200030
64423125252
71116534353
oct266073340
9108743755
1047740640
1124a48282
1213ba3828
139b76bcc
1464aa29a
1542d0595
hex2d876e0

47740640 has 48 divisors (see below), whose sum is σ = 117700128. Its totient is φ = 18264576.

The previous prime is 47740633. The next prime is 47740669. The reversal of 47740640 is 4604774.

47740640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 47740597 and 47740606.

It is a congruent number.

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, 2807 + ... + 10166.

It is an arithmetic number, because the mean of its divisors is an integer number (2452086).

Almost surely, 247740640 is an apocalyptic number.

47740640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47740640 is an abundant number, since it is smaller than the sum of its proper divisors (69959488).

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

47740640 is a wasteful number, since it uses less digits than its factorization.

47740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 47740640 is about 6909.4601815192. The cubic root of 47740640 is about 362.7683688483.

The spelling of 47740640 in words is "forty-seven million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 12973 25946 51892 64865 103784 129730 207568 259460 298379 415136 518920 596758 1037840 1193516 1491895 2075680 2387032 2983790 4774064 5967580 9548128 11935160 23870320 47740640