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47030016 = 2831119293
BaseRepresentation
bin1011001101100…
…1111100000000
310021111101001110
42303121330000
544014430031
64400003320
71110514515
oct263317400
9107441043
1047030016
1124602390
1213900540
139988617
14636330c
1541dec46
hex2cd9f00

47030016 has 144 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 13455360.

The previous prime is 47029991. The next prime is 47030017. The reversal of 47030016 is 61003074.

It is a junction number, because it is equal to n+sod(n) for n = 47029974 and 47030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47030017) 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, 160366 + ... + 160658.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 247030016 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 47030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

47030016 is an abundant number, since it is smaller than the sum of its proper divisors (97194624).

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

47030016 is a wasteful number, since it uses less digits than its factorization.

47030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 47030016 is about 6857.8433927876. The cubic root of 47030016 is about 360.9594161502.

The spelling of 47030016 in words is "forty-seven million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 293 304 352 384 418 456 528 586 608 627 704 768 836 879 912 1056 1172 1216 1254 1408 1672 1758 1824 2112 2344 2432 2508 2816 3223 3344 3516 3648 4224 4688 4864 5016 5567 6446 6688 7032 7296 8448 9376 9669 10032 11134 12892 13376 14064 14592 16701 18752 19338 20064 22268 25784 26752 28128 33402 37504 38676 40128 44536 51568 53504 56256 61237 66804 75008 77352 80256 89072 103136 112512 122474 133608 154704 160512 178144 183711 206272 225024 244948 267216 309408 356288 367422 412544 489896 534432 618816 712576 734844 825088 979792 1068864 1237632 1425152 1469688 1959584 2137728 2475264 2939376 3919168 4275456 5878752 7838336 11757504 15676672 23515008 47030016