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47944974 = 23711157661
BaseRepresentation
bin1011011011100…
…1010100001110
310100012212010210
42312321110032
544233214344
64431343250
71121345160
oct266712416
9110185123
1047944974
1125077850
1214081b26
139c18c0c
146520930
154320db9
hex2db950e

47944974 has 64 divisors (see below), whose sum is σ = 120494592. Its totient is φ = 12355200.

The previous prime is 47944973. The next prime is 47944987.

47944974 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47944973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72204 + ... + 72864.

It is an arithmetic number, because the mean of its divisors is an integer number (1882728).

Almost surely, 247944974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47944974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60247296).

47944974 is an abundant number, since it is smaller than the sum of its proper divisors (72549618).

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

47944974 is a wasteful number, since it uses less digits than its factorization.

47944974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841.

The product of its digits is 1016064, while the sum is 48.

The square root of 47944974 is about 6924.2309320241. The cubic root of 47944974 is about 363.2851920243.

The spelling of 47944974 in words is "forty-seven million, nine hundred forty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 157 231 314 462 471 661 942 1099 1322 1727 1983 2198 3297 3454 3966 4627 5181 6594 7271 9254 10362 12089 13881 14542 21813 24178 27762 36267 43626 50897 72534 101794 103777 152691 207554 305382 311331 622662 726439 1141547 1452878 2179317 2283094 3424641 4358634 6849282 7990829 15981658 23972487 47944974