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47542302 = 2341761283
BaseRepresentation
bin1011010101011…
…1000000011110
310022110101210000
42311113000132
544132323202
64414555130
71115050203
oct265270036
9108411700
1047542302
1124922265
1213b08aa6
139b07852
146457caa
15429191c
hex2d5701e

47542302 has 80 divisors (see below), whose sum is σ = 115050672. Its totient is φ = 14618880.

The previous prime is 47542291. The next prime is 47542307. The reversal of 47542302 is 20324574.

47542302 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47542307) 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 39 ways as a sum of consecutive naturals, for example, 167853 + ... + 168135.

Almost surely, 247542302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47542302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57525336).

47542302 is an abundant number, since it is smaller than the sum of its proper divisors (67508370).

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

47542302 is a wasteful number, since it uses less digits than its factorization.

47542302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 47542302 is about 6895.0926027139. The cubic root of 47542302 is about 362.2652990465.

Adding to 47542302 its reverse (20324574), we get a palindrome (67866876).

It can be divided in two parts, 4754 and 2302, that added together give a square (7056 = 842).

The spelling of 47542302 in words is "forty-seven million, five hundred forty-two thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 61 81 102 122 153 162 183 283 306 366 459 549 566 849 918 1037 1098 1377 1647 1698 2074 2547 2754 3111 3294 4811 4941 5094 6222 7641 9333 9622 9882 14433 15282 17263 18666 22923 27999 28866 34526 43299 45846 51789 55998 83997 86598 103578 129897 155367 167994 259794 293471 310734 389691 466101 586942 779382 880413 932202 1398303 1760826 2641239 2796606 5282478 7923717 15847434 23771151 47542302