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48102012 = 22347127167
BaseRepresentation
bin1011011101111…
…1101001111100
310100111211120000
42313133221330
544303231022
64434554300
71122601050
oct267375174
9110454500
1048102012
1125174832
1214138990
139c7253a
146561c60
1543526ac
hex2ddfa7c

48102012 has 120 divisors (see below), whose sum is σ = 145711104. Its totient is φ = 13553568.

The previous prime is 48102011. The next prime is 48102023. The reversal of 48102012 is 21020184.

It is a super-3 number, since 3×481020123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48102011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287953 + ... + 288119.

Almost surely, 248102012 is an apocalyptic number.

48102012 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 48102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72855552).

48102012 is an abundant number, since it is smaller than the sum of its proper divisors (97609092).

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

48102012 is a wasteful number, since it uses less digits than its factorization.

48102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 48102012 is about 6935.5614048179. The cubic root of 48102012 is about 363.6813920982.

Adding to 48102012 its reverse (21020184), we get a palindrome (69122196).

The spelling of 48102012 in words is "forty-eight million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 127 162 167 189 252 254 324 334 378 381 501 508 567 668 756 762 889 1002 1134 1143 1169 1503 1524 1778 2004 2268 2286 2338 2667 3006 3429 3507 3556 4509 4572 4676 5334 6012 6858 7014 8001 9018 10287 10521 10668 13527 13716 14028 16002 18036 20574 21042 21209 24003 27054 31563 32004 41148 42084 42418 48006 54108 63126 63627 72009 84836 94689 96012 126252 127254 144018 148463 189378 190881 254508 288036 296926 378756 381762 445389 572643 593852 763524 890778 1145286 1336167 1717929 1781556 2290572 2672334 3435858 4008501 5344668 6871716 8017002 12025503 16034004 24051006 48102012