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47024712 = 2334721481
BaseRepresentation
bin1011001101100…
…0101001001000
310021111002210000
42303120221020
544014242322
64355523000
71110463200
oct263305110
9107432700
1047024712
11245a93a9
12138b9460
139986097
146361400
1541dd3ac
hex2cd8a48

47024712 has 120 divisors (see below), whose sum is σ = 153320310. Its totient is φ = 13426560.

The previous prime is 47024701. The next prime is 47024741. The reversal of 47024712 is 21742074.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 41293476 + 5731236 = 6426^2 + 2394^2 .

It is a super-2 number, since 2×470247122 = 4422647077365888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 31012 + ... + 32492.

Almost surely, 247024712 is an apocalyptic number.

47024712 is a gapful number since it is divisible by the number (42) 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 47024712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76660155).

47024712 is an abundant number, since it is smaller than the sum of its proper divisors (106295598).

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

47024712 is a wasteful number, since it uses less digits than its factorization.

47024712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 47024712 is about 6857.4566713906. The cubic root of 47024712 is about 360.9458460880.

Adding to 47024712 its reverse (21742074), we get a palindrome (68766786).

The spelling of 47024712 in words is "forty-seven million, twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1481 1512 1764 2268 2646 2962 3528 3969 4443 4536 5292 5924 7938 8886 10367 10584 11848 13329 15876 17772 20734 26658 31101 31752 35544 39987 41468 53316 62202 72569 79974 82936 93303 106632 119961 124404 145138 159948 186606 217707 239922 248808 279909 290276 319896 373212 435414 479844 559818 580552 653121 746424 839727 870828 959688 1119636 1306242 1679454 1741656 1959363 2239272 2612484 3358908 3918726 5224968 5878089 6717816 7837452 11756178 15674904 23512356 47024712