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47314368 = 26349127
BaseRepresentation
bin1011010001111…
…1010111000000
310022000211010000
42310133113000
544103024433
64410040000
71113110523
oct264372700
9108024100
1047314368
1124786a92
1213a19000
139a57b8a
1463d8bba
154249113
hex2d1f5c0

47314368 has 70 divisors (see below), whose sum is σ = 140269976. Its totient is φ = 15769728.

The previous prime is 47314367. The next prime is 47314373. The reversal of 47314368 is 86341374.

47314368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47314361) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 621 + ... + 9747.

Almost surely, 247314368 is an apocalyptic number.

47314368 is a gapful number since it is divisible by the number (48) 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 47314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70134988).

47314368 is an abundant number, since it is smaller than the sum of its proper divisors (92955608).

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

47314368 is an equidigital number, since it uses as much as digits as its factorization.

47314368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9132 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 47314368 is about 6878.5440319882. The cubic root of 47314368 is about 361.6854302548.

It can be divided in two parts, 473 and 14368, that added together give a palindrome (14841).

The spelling of 47314368 in words is "forty-seven million, three hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 9127 18254 27381 36508 54762 73016 82143 109524 146032 164286 219048 246429 292064 328572 438096 492858 584128 657144 739287 876192 985716 1314288 1478574 1752384 1971432 2628576 2957148 3942864 5257152 5914296 7885728 11828592 15771456 23657184 47314368