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47069312 = 27418969
BaseRepresentation
bin1011001110001…
…1100010000000
310021120100221212
42303203202000
544022204222
64400505252
71111040213
oct263434200
9107510855
1047069312
1124629964
121391b228
1399a0484
14637377a
1541eb6e2
hex2ce3880

47069312 has 32 divisors (see below), whose sum is σ = 96068700. Its totient is φ = 22958080.

The previous prime is 47069261. The next prime is 47069317. The reversal of 47069312 is 21396074.

It can be written as a sum of positive squares in 2 ways, for example, as 43771456 + 3297856 = 6616^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (47069317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 764 + ... + 9732.

Almost surely, 247069312 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 47069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48034350).

47069312 is an abundant number, since it is smaller than the sum of its proper divisors (48999388).

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

47069312 is an equidigital number, since it uses as much as digits as its factorization.

47069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9024 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 47069312 is about 6860.7078352018. The cubic root of 47069312 is about 361.0599215557.

The spelling of 47069312 in words is "forty-seven million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 8969 17938 35876 71752 143504 287008 367729 574016 735458 1148032 1470916 2941832 5883664 11767328 23534656 47069312