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47442516 = 223111073359
BaseRepresentation
bin1011010011111…
…0101001010100
310022021022220020
42310332221110
544121130031
64412505140
71114153242
oct264765124
9108238806
1047442516
11248642a0
1213a7b1b0
139aa12c4
14642d792
154272096
hex2d3ea54

47442516 has 48 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 14237920.

The previous prime is 47442497. The next prime is 47442517. The reversal of 47442516 is 61524474.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47442517) 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, 12445 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 247442516 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 47442516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

47442516 is an abundant number, since it is smaller than the sum of its proper divisors (74485164).

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

47442516 is a wasteful number, since it uses less digits than its factorization.

47442516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3482 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 47442516 is about 6887.8527858833. The cubic root of 47442516 is about 362.0116700042.

It can be divided in two parts, 4744 and 2516, that added together give a triangular number (7260 = T120).

The spelling of 47442516 in words is "forty-seven million, four hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3359 3531 4708 6718 7062 10077 13436 14124 20154 36949 40308 73898 110847 147796 221694 359413 443388 718826 1078239 1437652 2156478 3953543 4312956 7907086 11860629 15814172 23721258 47442516