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47991064 = 231123131181
BaseRepresentation
bin1011011100010…
…0100100011000
310100022012100211
42313010210120
544241203224
64432340504
71121626432
oct267044430
9110265324
1047991064
11250a9440
12140a4734
139c33ba4
146533652
15432e894
hex2dc4918

47991064 has 64 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 20592000.

The previous prime is 47991061. The next prime is 47991071. The reversal of 47991064 is 46019974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47991061) 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 15 ways as a sum of consecutive naturals, for example, 265054 + ... + 265234.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 247991064 is an apocalyptic number.

47991064 is a gapful number since it is divisible by the number (44) 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 47991064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

47991064 is an abundant number, since it is smaller than the sum of its proper divisors (55792616).

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

47991064 is a wasteful number, since it uses less digits than its factorization.

47991064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 47991064 is about 6927.5583000073. The cubic root of 47991064 is about 363.4015646812.

It can be divided in two parts, 479910 and 64, that added together give a palindrome (479974).

The spelling of 47991064 in words is "forty-seven million, nine hundred ninety-one thousand, sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 131 181 184 253 262 362 506 524 724 1012 1048 1441 1448 1991 2024 2882 3013 3982 4163 5764 6026 7964 8326 11528 12052 15928 16652 23711 24104 33143 33304 45793 47422 66286 91586 94844 132572 183172 189688 260821 265144 366344 521642 545353 1043284 1090706 2086568 2181412 4362824 5998883 11997766 23995532 47991064