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48073662 = 2357131087
BaseRepresentation
bin1011011101100…
…0101110111110
310100110101200000
42313120232332
544301324122
64434215130
71122422310
oct267305676
9110411600
1048073662
11251554aa
12141244a6
139c62670
1465557b0
1543490ac
hex2dd8bbe

48073662 has 96 divisors (see below), whose sum is σ = 133066752. Its totient is φ = 12667104.

The previous prime is 48073661. The next prime is 48073679. The reversal of 48073662 is 26637084.

It is a super-3 number, since 3×480736623 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43683 + ... + 44769.

It is an arithmetic number, because the mean of its divisors is an integer number (1386112).

Almost surely, 248073662 is an apocalyptic number.

48073662 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48073662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66533376).

48073662 is an abundant number, since it is smaller than the sum of its proper divisors (84993090).

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

48073662 is a wasteful number, since it uses less digits than its factorization.

48073662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 48073662 is about 6933.5172892263. The cubic root of 48073662 is about 363.6099301278.

The spelling of 48073662 in words is "forty-eight million, seventy-three thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 702 819 1053 1087 1134 1638 1701 2106 2174 2457 3159 3261 3402 4914 6318 6522 7371 7609 9783 14131 14742 15218 19566 22113 22827 28262 29349 42393 44226 45654 58698 68481 84786 88047 98917 127179 136962 176094 197834 205443 254358 264141 296751 381537 410886 528282 593502 616329 763074 890253 1144611 1232658 1780506 1848987 2289222 2670759 3433833 3697974 5341518 6867666 8012277 16024554 24036831 48073662