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47421968 = 2411733691
BaseRepresentation
bin1011010011100…
…1101000010000
310022020021201012
42310321220100
544120000333
64412230052
71114036316
oct264715020
9108207635
1047421968
112484a910
1213a6b328
139a94b49
1464260b6
15426ae48
hex2d39a10

47421968 has 40 divisors (see below), whose sum is σ = 101633376. Its totient is φ = 21254400.

The previous prime is 47421961. The next prime is 47421973. The reversal of 47421968 is 86912474.

It is not an unprimeable number, because it can be changed into a prime (47421961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11003 + ... + 14693.

Almost surely, 247421968 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 47421968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50816688).

47421968 is an abundant number, since it is smaller than the sum of its proper divisors (54211408).

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

47421968 is a wasteful number, since it uses less digits than its factorization.

47421968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3777 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 47421968 is about 6886.3610129008. The cubic root of 47421968 is about 361.9593983950.

The spelling of 47421968 in words is "forty-seven million, four hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 44 73 88 146 176 292 584 803 1168 1606 3212 3691 6424 7382 12848 14764 29528 40601 59056 81202 162404 269443 324808 538886 649616 1077772 2155544 2963873 4311088 5927746 11855492 23710984 47421968