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47960838 = 23229139661
BaseRepresentation
bin1011011011110…
…1001100000110
310100020122220100
42312331030012
544234221323
64431544530
71121442342
oct266751406
9110218810
1047960838
1125088762
121408b146
139c231c3
146526622
154325943
hex2dbd306

47960838 has 48 divisors (see below), whose sum is σ = 108435600. Its totient is φ = 15301440.

The previous prime is 47960789. The next prime is 47960839. The reversal of 47960838 is 83806974.

It is a happy number.

47960838 is a `hidden beast` number, since 4 + 7 + 9 + 608 + 38 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47960793 and 47960802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47960839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72228 + ... + 72888.

It is an arithmetic number, because the mean of its divisors is an integer number (2259075).

Almost surely, 247960838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47960838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217800).

47960838 is an abundant number, since it is smaller than the sum of its proper divisors (60474762).

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

47960838 is a wasteful number, since it uses less digits than its factorization.

47960838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 834 counting only the distinct ones).

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

The square root of 47960838 is about 6925.3763796634. The cubic root of 47960838 is about 363.3252554573.

The spelling of 47960838 in words is "forty-seven million, nine hundred sixty thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 139 174 261 278 417 522 661 834 1251 1322 1983 2502 3966 4031 5949 8062 11898 12093 19169 24186 36279 38338 57507 72558 91879 115014 172521 183758 275637 345042 551274 826911 1653822 2664491 5328982 7993473 15986946 23980419 47960838