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47473140 = 223511213503
BaseRepresentation
bin1011010100011…
…0000111110100
310022022212220110
42311012013310
544123120030
64413303020
71114341441
oct265060764
9108285813
1047473140
1124885300
1213a94a70
139ab2220
14643a9c8
15427b1b0
hex2d461f4

47473140 has 144 divisors (see below), whose sum is σ = 157659264. Its totient is φ = 10602240.

The previous prime is 47473133. The next prime is 47473147. The reversal of 47473140 is 4137474.

47473140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47473133) and next prime (47473147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47473098 and 47473107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47473147) 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 47 ways as a sum of consecutive naturals, for example, 94129 + ... + 94631.

It is an arithmetic number, because the mean of its divisors is an integer number (1094856).

Almost surely, 247473140 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 47473140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632).

47473140 is an abundant number, since it is smaller than the sum of its proper divisors (110186124).

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

47473140 is a wasteful number, since it uses less digits than its factorization.

47473140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 47473140 is about 6890.0754712848. The cubic root of 47473140 is about 362.0895457283.

It can be divided in two parts, 4747 and 3140, that added together give a palindrome (7887).

The spelling of 47473140 in words is "forty-seven million, four hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 503 572 605 660 715 726 780 858 1006 1210 1430 1452 1509 1573 1716 1815 2012 2145 2420 2515 2860 3018 3146 3630 4290 4719 5030 5533 6036 6292 6539 7260 7545 7865 8580 9438 10060 11066 13078 15090 15730 16599 18876 19617 22132 23595 26156 27665 30180 31460 32695 33198 39234 47190 55330 60863 65390 66396 71929 78468 82995 94380 98085 110660 121726 130780 143858 165990 182589 196170 215787 243452 287716 304315 331980 359645 365178 392340 431574 608630 719290 730356 791219 863148 912945 1078935 1217260 1438580 1582438 1825890 2157870 2373657 3164876 3651780 3956095 4315740 4747314 7912190 9494628 11868285 15824380 23736570 47473140