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47585142 = 232111767211
BaseRepresentation
bin1011010110000…
…1011101110110
310022112120112200
42311201131312
544140211032
64415525330
71115316123
oct265413566
9108476480
1047585142
1124951470
1213b29846
139b211b7
14646974a
15429e47c
hex2d61776

47585142 has 96 divisors (see below), whose sum is σ = 121440384. Its totient is φ = 13305600.

The previous prime is 47585141. The next prime is 47585173. The reversal of 47585142 is 24158574.

It is a junction number, because it is equal to n+sod(n) for n = 47585097 and 47585106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47585141) 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, 225417 + ... + 225627.

It is an arithmetic number, because the mean of its divisors is an integer number (1265004).

Almost surely, 247585142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47585142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60720192).

47585142 is an abundant number, since it is smaller than the sum of its proper divisors (73855242).

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

47585142 is a wasteful number, since it uses less digits than its factorization.

47585142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 47585142 is about 6898.1984604678. The cubic root of 47585142 is about 362.3740778646.

The spelling of 47585142 in words is "forty-seven million, five hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 67 99 102 134 153 187 198 201 211 306 374 402 422 561 603 633 737 1122 1139 1206 1266 1474 1683 1899 2211 2278 2321 3366 3417 3587 3798 4422 4642 6633 6834 6963 7174 10251 10761 12529 13266 13926 14137 20502 20889 21522 25058 28274 32283 37587 39457 41778 42411 64566 75174 78914 84822 112761 118371 127233 155507 225522 236742 240329 254466 311014 355113 466521 480658 710226 720987 933042 1399563 1441974 2162961 2643619 2799126 4325922 5287238 7930857 15861714 23792571 47585142