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47817972 = 22334110799
BaseRepresentation
bin1011011001101…
…0010011110100
310022222101221000
42312122103310
544220133342
64424523300
71120305666
oct266322364
9108871830
1047817972
1124aa0394
1214020530
139ba3177
1464ca536
1542e844c
hex2d9a4f4

47817972 has 48 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 15549120.

The previous prime is 47817937. The next prime is 47817977. The reversal of 47817972 is 27971874.

It is a happy number.

47817972 is a `hidden beast` number, since 478 + 179 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47817977) 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, 972 + ... + 9827.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 247817972 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 47817972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

47817972 is an abundant number, since it is smaller than the sum of its proper divisors (79190028).

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

47817972 is a wasteful number, since it uses less digits than its factorization.

47817972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10853 (or 10845 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 47817972 is about 6915.0540128042. The cubic root of 47817972 is about 362.9641382508.

The spelling of 47817972 in words is "forty-seven million, eight hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 10799 21598 32397 43196 64794 97191 129588 194382 291573 388764 442759 583146 885518 1166292 1328277 1771036 2656554 3984831 5313108 7969662 11954493 15939324 23908986 47817972