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47257144 = 231117311019
BaseRepresentation
bin1011010001000…
…1011000111000
310021220220121121
42310101120320
544044212034
64404515024
71112451634
oct264213070
9107826547
1047257144
1124747aa0
12139aba74
139a37b0c
1463c1dc4
1542371b4
hex2d11638

47257144 has 64 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 19545600.

The previous prime is 47257117. The next prime is 47257151. The reversal of 47257144 is 44175274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 45867 + ... + 46885.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 247257144 is an apocalyptic number.

47257144 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 47257144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

47257144 is an abundant number, since it is smaller than the sum of its proper divisors (58496456).

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

47257144 is a wasteful number, since it uses less digits than its factorization.

47257144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1080 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 47257144 is about 6874.3831723290. The cubic root of 47257144 is about 361.5395588735.

The spelling of 47257144 in words is "forty-seven million, two hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 124 136 187 248 341 374 527 682 748 1019 1054 1364 1496 2038 2108 2728 4076 4216 5797 8152 11209 11594 17323 22418 23188 31589 34646 44836 46376 63178 69292 89672 126356 138584 190553 252712 347479 381106 537013 694958 762212 1074026 1389916 1524424 2148052 2779832 4296104 5907143 11814286 23628572 47257144