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47838252 = 223711232251
BaseRepresentation
bin1011011001111…
…1010000101100
310100000102202010
42312133100230
544221311002
64425201220
71120422060
oct266372054
9110012663
1047838252
1125004650
1214030210
139bac477
1464d3aa0
1542ee46c
hex2d9f42c

47838252 has 96 divisors (see below), whose sum is σ = 145281024. Its totient is φ = 11880000.

The previous prime is 47838251. The next prime is 47838253. The reversal of 47838252 is 25283874.

It is an interprime number because it is at equal distance from previous prime (47838251) and next prime (47838253).

It is a self number, because there is not a number n which added to its sum of digits gives 47838252.

It is not an unprimeable number, because it can be changed into a prime (47838251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20127 + ... + 22377.

It is an arithmetic number, because the mean of its divisors is an integer number (1513344).

Almost surely, 247838252 is an apocalyptic number.

47838252 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 47838252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72640512).

47838252 is an abundant number, since it is smaller than the sum of its proper divisors (97442772).

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

47838252 is a wasteful number, since it uses less digits than its factorization.

47838252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2297 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 47838252 is about 6916.5202233493. The cubic root of 47838252 is about 363.0154430361.

The spelling of 47838252 in words is "forty-seven million, eight hundred thirty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 2251 3036 3542 4502 5313 6753 7084 9004 10626 13506 15757 21252 24761 27012 31514 47271 49522 51773 63028 74283 94542 99044 103546 148566 155319 173327 189084 207092 297132 310638 346654 362411 519981 569503 621276 693308 724822 1039962 1087233 1139006 1449644 1708509 2079924 2174466 2278012 3417018 3986521 4348932 6834036 7973042 11959563 15946084 23919126 47838252