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47783142 = 23311271103
BaseRepresentation
bin1011011001000…
…1110011100110
310022220122011000
42312101303212
544213030032
64424054130
71120102311
oct266216346
9108818130
1047783142
1124a77200
1214004346
139b90364
1464bb978
1542dce7c
hex2d91ce6

47783142 has 96 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 14137200.

The previous prime is 47783137. The next prime is 47783143. The reversal of 47783142 is 24138774.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47783097 and 47783106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47783143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463863 + ... + 463965.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 247783142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47783142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

47783142 is an abundant number, since it is smaller than the sum of its proper divisors (71725338).

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

47783142 is a wasteful number, since it uses less digits than its factorization.

47783142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 47783142 is about 6912.5351355346. The cubic root of 47783142 is about 362.8759906982.

The spelling of 47783142 in words is "forty-seven million, seven hundred eighty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 103 121 142 198 206 213 242 297 309 363 426 594 618 639 726 781 927 1089 1133 1278 1562 1854 1917 2178 2266 2343 2781 3267 3399 3834 4686 5562 6534 6798 7029 7313 8591 10197 12463 14058 14626 17182 20394 21087 21939 24926 25773 30591 37389 42174 43878 51546 61182 65817 74778 77319 80443 112167 131634 154638 160886 197451 224334 231957 241329 336501 394902 463914 482658 673002 723987 884873 1447974 1769746 2171961 2654619 4343922 5309238 7963857 15927714 23891571 47783142