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47144064 = 2731111161
BaseRepresentation
bin1011001111010…
…1110010000000
310021201011111110
42303311302000
544032102224
64402243320
71111501152
oct263656200
9107634443
1047144064
1124680040
1213956540
1399c84c6
146392ad2
154213929
hex2cf5c80

47144064 has 64 divisors (see below), whose sum is σ = 136622880. Its totient is φ = 14284800.

The previous prime is 47144059. The next prime is 47144099. The reversal of 47144064 is 46044174.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357 + ... + 9804.

Almost surely, 247144064 is an apocalyptic number.

47144064 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 47144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68311440).

47144064 is an abundant number, since it is smaller than the sum of its proper divisors (89478816).

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

47144064 is a wasteful number, since it uses less digits than its factorization.

47144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11189 (or 11177 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 47144064 is about 6866.1535083335. The cubic root of 47144064 is about 361.2509566830.

It can be divided in two parts, 4714 and 4064, that added together give a palindrome (8778).

The spelling of 47144064 in words is "forty-seven million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 11161 22322 33483 44644 66966 89288 122771 133932 178576 245542 267864 357152 368313 491084 535728 714304 736626 982168 1071456 1428608 1473252 1964336 2142912 2946504 3928672 4285824 5893008 7857344 11786016 15714688 23572032 47144064