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47528416 = 2513432657
BaseRepresentation
bin1011010101001…
…1100111100000
310022102200201201
42311103213200
544131402131
64414410544
71114661545
oct265234740
9108380651
1047528416
1124912891
1213b00a54
139b01430
146452bcc
15428c761
hex2d539e0

47528416 has 48 divisors (see below), whose sum is σ = 103151664. Its totient is φ = 21417984.

The previous prime is 47528401. The next prime is 47528431. The reversal of 47528416 is 61482574.

47528416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47528401) and next prime (47528431).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16560 + ... + 19216.

It is an arithmetic number, because the mean of its divisors is an integer number (2148993).

Almost surely, 247528416 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 47528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51575832).

47528416 is an abundant number, since it is smaller than the sum of its proper divisors (55623248).

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

47528416 is a wasteful number, since it uses less digits than its factorization.

47528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2715 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 47528416 is about 6894.0855811340. The cubic root of 47528416 is about 362.2300258578.

The spelling of 47528416 in words is "forty-seven million, five hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 2657 4472 5314 8944 10628 17888 21256 34541 42512 69082 85024 114251 138164 228502 276328 457004 552656 914008 1105312 1485263 1828016 2970526 3656032 5941052 11882104 23764208 47528416