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47005080 = 23351033803
BaseRepresentation
bin1011001101001…
…1110110011000
310021110002211220
42303103312120
544013130310
64355252040
71110352023
oct263236630
9107402756
1047005080
1124595681
12138aa020
13997a175
1463581ba
1541d7670
hex2cd3d98

47005080 has 64 divisors (see below), whose sum is σ = 142421760. Its totient is φ = 12409728.

The previous prime is 47005039. The next prime is 47005081. The reversal of 47005080 is 8050074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47005080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47005081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10459 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (2225340).

Almost surely, 247005080 is an apocalyptic number.

47005080 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 47005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71210880).

47005080 is an abundant number, since it is smaller than the sum of its proper divisors (95416680).

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

47005080 is a wasteful number, since it uses less digits than its factorization.

47005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 47005080 is about 6856.0250874687. The cubic root of 47005080 is about 360.8956095571.

The spelling of 47005080 in words is "forty-seven million, five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 3803 4120 6180 7606 11409 12360 15212 19015 22818 30424 38030 45636 57045 76060 91272 114090 152120 228180 391709 456360 783418 1175127 1566836 1958545 2350254 3133672 3917090 4700508 5875635 7834180 9401016 11751270 15668360 23502540 47005080