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47481468 = 22329472903
BaseRepresentation
bin1011010100100…
…0001001111100
310022100022022220
42311020021330
544123401333
64413405340
71114404636
oct265101174
9108308286
1047481468
1124890591
1213a99850
139ab5c58
14643da56
15427d8b3
hex2d4827c

47481468 has 48 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 14951104.

The previous prime is 47481461. The next prime is 47481509. The reversal of 47481468 is 86418474.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47481461) 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, 14905 + ... + 17807.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 247481468 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 47481468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

47481468 is an abundant number, since it is smaller than the sum of its proper divisors (69607812).

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

47481468 is a wasteful number, since it uses less digits than its factorization.

47481468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2984 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 47481468 is about 6890.6797922992. The cubic root of 47481468 is about 362.1107177386.

It can be divided in two parts, 4748 and 1468, that added together give a triangular number (6216 = T111).

The spelling of 47481468 in words is "forty-seven million, four hundred eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 141 174 188 282 348 564 1363 2726 2903 4089 5452 5806 8178 8709 11612 16356 17418 34836 84187 136441 168374 252561 272882 336748 409323 505122 545764 818646 1010244 1637292 3956789 7913578 11870367 15827156 23740734 47481468