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48863412 = 2236131289
BaseRepresentation
bin1011101001100…
…1100010110100
310101221112000000
42322121202310
5100002112122
64503151300
71132221633
oct272314264
9111845000
1048863412
1125644894
1214445530
13a17ac80
1466bd51a
1544530ac
hex2e998b4

48863412 has 84 divisors (see below), whose sum is σ = 138177060. Its totient is φ = 15023232.

The previous prime is 48863411. The next prime is 48863413. The reversal of 48863412 is 21436884.

48863412 is a `hidden beast` number, since 4 + 8 + 8 + 634 + 12 = 666.

48863412 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 (48863411) and next prime (48863413).

It can be written as a sum of positive squares in 2 ways, for example, as 23097636 + 25765776 = 4806^2 + 5076^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48863411) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 37264 + ... + 38552.

It is an arithmetic number, because the mean of its divisors is an integer number (1644965).

Almost surely, 248863412 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 48863412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088530).

48863412 is an abundant number, since it is smaller than the sum of its proper divisors (89313648).

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

48863412 is a wasteful number, since it uses less digits than its factorization.

48863412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1307 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48863412 is about 6990.2369058566. The cubic root of 48863412 is about 365.5902428499.

The spelling of 48863412 in words is "forty-eight million, eight hundred sixty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1289 1404 1458 2106 2578 2916 3159 3867 4212 5156 6318 7734 9477 11601 12636 15468 16757 18954 23202 33514 34803 37908 46404 50271 67028 69606 100542 104409 139212 150813 201084 208818 301626 313227 417636 452439 603252 626454 904878 939681 1252908 1357317 1809756 1879362 2714634 3758724 4071951 5429268 8143902 12215853 16287804 24431706 48863412