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47419416 = 23321125443
BaseRepresentation
bin1011010011100…
…1000000011000
310022020011012200
42310321000120
544114410131
64412210200
71114026012
oct264710030
9108204180
1047419416
1124848a00
1213a69960
139a93935
1464251b2
15426a2e6
hex2d39018

47419416 has 72 divisors (see below), whose sum is σ = 141190140. Its totient is φ = 14366880.

The previous prime is 47419363. The next prime is 47419423. The reversal of 47419416 is 61491474.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5991 + ... + 11433.

Almost surely, 247419416 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 47419416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70595070).

47419416 is an abundant number, since it is smaller than the sum of its proper divisors (93770724).

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

47419416 is a wasteful number, since it uses less digits than its factorization.

47419416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5459 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 47419416 is about 6886.1757166079. The cubic root of 47419416 is about 361.9529053637.

The spelling of 47419416 in words is "forty-seven million, four hundred nineteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 5443 8712 10886 16329 21772 32658 43544 48987 59873 65316 97974 119746 130632 179619 195948 239492 359238 391896 478984 538857 658603 718476 1077714 1317206 1436952 1975809 2155428 2634412 3951618 4310856 5268824 5927427 7903236 11854854 15806472 23709708 47419416