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48012012 = 223217194129
BaseRepresentation
bin1011011100100…
…1101011101100
310100100021002200
42313021223230
544242341022
64433021500
71122044466
oct267115354
9110307080
1048012012
1125113154
12140b4890
139c40599
14653b136
154335bac
hex2dc9aec

48012012 has 72 divisors (see below), whose sum is σ = 135298800. Its totient is φ = 14266368.

The previous prime is 48012007. The next prime is 48012043. The reversal of 48012012 is 21021084.

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

48012012 is a modest number, since divided by 12012 gives 48 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9564 + ... + 13692.

It is an arithmetic number, because the mean of its divisors is an integer number (1879150).

Almost surely, 248012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67649400).

48012012 is an abundant number, since it is smaller than the sum of its proper divisors (87286788).

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

48012012 is a wasteful number, since it uses less digits than its factorization.

48012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4170 counting only the distinct ones).

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

The square root of 48012012 is about 6929.0700674766. The cubic root of 48012012 is about 363.4544316665.

Adding to 48012012 its reverse (21021084), we get a palindrome (69033096).

The spelling of 48012012 in words is "forty-eight million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 4129 5814 8258 11628 12387 16516 24774 37161 49548 70193 74322 78451 140386 148644 156902 210579 235353 280772 313804 421158 470706 631737 706059 842316 941412 1263474 1333667 1412118 2526948 2667334 2824236 4001001 5334668 8002002 12003003 16004004 24006006 48012012