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47986416 = 24322911491
BaseRepresentation
bin1011011100001…
…1011011110000
310100021221222200
42313003123300
544241031131
64432303200
71121610042
oct267033360
9110257880
1047986416
11250a59a5
12140a1b00
139c31a3a
146531a92
15432d2e6
hex2dc36f0

47986416 has 60 divisors (see below), whose sum is σ = 138938280. Its totient is φ = 15442560.

The previous prime is 47986399. The next prime is 47986423. The reversal of 47986416 is 61468974.

It is a super-2 number, since 2×479864162 = 4605392241050112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1570 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (2315638).

Almost surely, 247986416 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 47986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69469140).

47986416 is an abundant number, since it is smaller than the sum of its proper divisors (90951864).

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

47986416 is a wasteful number, since it uses less digits than its factorization.

47986416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11525 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 47986416 is about 6927.2228201495. Note that the first 3 decimals coincide. The cubic root of 47986416 is about 363.3898323234.

The spelling of 47986416 in words is "forty-seven million, nine hundred eighty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 11491 22982 34473 45964 68946 91928 103419 137892 183856 206838 275784 333239 413676 551568 666478 827352 999717 1332956 1654704 1999434 2665912 2999151 3998868 5331824 5998302 7997736 11996604 15995472 23993208 47986416