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47000072 = 23719163271
BaseRepresentation
bin1011001101001…
…0101000001000
310021102211222102
42303102220020
544013000242
64355212532
71110331310
oct263225010
9107384872
1047000072
1124591939
12138a7148
139977ac2
146356440
1541d5e32
hex2cd2a08

47000072 has 64 divisors (see below), whose sum is σ = 107059200. Its totient is φ = 18895680.

The previous prime is 47000059. The next prime is 47000077. The reversal of 47000072 is 27000074.

It is not an unprimeable number, because it can be changed into a prime (47000077) 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, 173297 + ... + 173567.

It is an arithmetic number, because the mean of its divisors is an integer number (1672800).

Almost surely, 247000072 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 47000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53529600).

47000072 is an abundant number, since it is smaller than the sum of its proper divisors (60059128).

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

47000072 is a wasteful number, since it uses less digits than its factorization.

47000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 47000072 is about 6855.6598515387. The cubic root of 47000072 is about 360.8827922943.

The spelling of 47000072 in words is "forty-seven million, seventy-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 163 266 271 326 532 542 652 1064 1084 1141 1304 1897 2168 2282 3097 3794 4564 5149 6194 7588 9128 10298 12388 15176 20596 21679 24776 36043 41192 43358 44173 72086 86716 88346 144172 173432 176692 288344 309211 353384 618422 839287 1236844 1678574 2473688 3357148 5875009 6714296 11750018 23500036 47000072