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47906040 = 233571341107
BaseRepresentation
bin1011011010111…
…1110011111000
310100010212201210
42312233303320
544230443130
64430443120
71121123520
oct266576370
9110125653
1047906040
1125050576
12140634a0
139c04290
146510680
1543145b0
hex2dafcf8

47906040 has 256 divisors, whose sum is σ = 182891520. Its totient is φ = 9768960.

The previous prime is 47906029. The next prime is 47906059. The reversal of 47906040 is 4060974.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47905989 and 47906007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447667 + ... + 447773.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 247906040 is an apocalyptic number.

47906040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

47906040 is an abundant number, since it is smaller than the sum of its proper divisors (134985480).

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

47906040 is a wasteful number, since it uses less digits than its factorization.

47906040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47906040 is about 6921.4189296704. The cubic root of 47906040 is about 363.1868294305.

The spelling of 47906040 in words is "forty-seven million, nine hundred six thousand, forty".