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48422052 = 223271789127
BaseRepresentation
bin1011100010110…
…1110010100100
310101010002120100
42320231302210
544344001202
64445504100
71125403110
oct270556244
9111102510
1048422052
1125373228
1214272030
13a055103
146606740
1543b741c
hex2e2dca4

48422052 has 144 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 12773376.

The previous prime is 48422041. The next prime is 48422063. The reversal of 48422052 is 25022484.

It is a happy number.

48422052 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 (48422041) and next prime (48422063).

It is a congruent number.

It is an unprimeable number.

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, 381213 + ... + 381339.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 248422052 is an apocalyptic number.

48422052 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 48422052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

48422052 is an abundant number, since it is smaller than the sum of its proper divisors (102536028).

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

48422052 is a wasteful number, since it uses less digits than its factorization.

48422052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48422052 is about 6958.5955479536. The cubic root of 48422052 is about 364.4861776217.

The spelling of 48422052 in words is "forty-eight million, four hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 89 102 119 126 127 153 178 204 238 252 254 267 306 356 357 381 476 508 534 612 623 714 762 801 889 1068 1071 1143 1246 1428 1513 1524 1602 1778 1869 2142 2159 2286 2492 2667 3026 3204 3556 3738 4284 4318 4539 4572 5334 5607 6052 6477 7476 8001 8636 9078 10591 10668 11214 11303 12954 13617 15113 16002 18156 19431 21182 22428 22606 25908 27234 30226 31773 32004 33909 38862 42364 45212 45339 54468 60452 63546 67818 77724 79121 90678 95319 101727 127092 135636 136017 158242 181356 190638 192151 203454 237363 272034 316484 381276 384302 406908 474726 544068 576453 712089 768604 949452 1152906 1345057 1424178 1729359 2305812 2690114 2848356 3458718 4035171 5380228 6917436 8070342 12105513 16140684 24211026 48422052