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47463320 = 23517223313
BaseRepresentation
bin1011010100001…
…1101110011000
310022022101102202
42311003232120
544122311240
64413145332
71114301012
oct265035630
9108271382
1047463320
1124878993
1213a8b248
139aaa908
1464371b2
154278315
hex2d43b98

47463320 has 64 divisors (see below), whose sum is σ = 113944320. Its totient is φ = 17731584.

The previous prime is 47463319. The next prime is 47463331. The reversal of 47463320 is 2336474.

It is a happy number.

47463320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 151484 + ... + 151796.

It is an arithmetic number, because the mean of its divisors is an integer number (1780380).

Almost surely, 247463320 is an apocalyptic number.

47463320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47463320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56972160).

47463320 is an abundant number, since it is smaller than the sum of its proper divisors (66481000).

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

47463320 is a wasteful number, since it uses less digits than its factorization.

47463320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 47463320 is about 6889.3628152392. The cubic root of 47463320 is about 362.0645774723.

Adding to 47463320 its reverse (2336474), we get a palindrome (49799794).

The spelling of 47463320 in words is "forty-seven million, four hundred sixty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 223 313 340 446 626 680 892 1115 1252 1565 1784 2230 2504 3130 3791 4460 5321 6260 7582 8920 10642 12520 15164 18955 21284 26605 30328 37910 42568 53210 69799 75820 106420 139598 151640 212840 279196 348995 558392 697990 1186583 1395980 2373166 2791960 4746332 5932915 9492664 11865830 23731660 47463320