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47000088 = 23368059
BaseRepresentation
bin1011001101001…
…0101000011000
310021102212000000
42303102220120
544013000323
64355213000
71110331332
oct263225030
9107385000
1047000088
1124591953
12138a7160
139977b05
146356452
1541d5e43
hex2cd2a18

47000088 has 56 divisors (see below), whose sum is σ = 132143700. Its totient is φ = 15664752.

The previous prime is 47000081. The next prime is 47000117. The reversal of 47000088 is 88000074.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47000081) 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 13 ways as a sum of consecutive naturals, for example, 1803 + ... + 9861.

Almost surely, 247000088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47000088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66071850).

47000088 is an abundant number, since it is smaller than the sum of its proper divisors (85143612).

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

47000088 is an equidigital number, since it uses as much as digits as its factorization.

47000088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47000088 is about 6855.6610184577. The cubic root of 47000088 is about 360.8828332454.

The spelling of 47000088 in words is "forty-seven million, eighty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 8059 16118 24177 32236 48354 64472 72531 96708 145062 193416 217593 290124 435186 580248 652779 870372 1305558 1740744 1958337 2611116 3916674 5222232 5875011 7833348 11750022 15666696 23500044 47000088