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48741336 = 2332797997
BaseRepresentation
bin1011100111101…
…1101111011000
310101201022112200
42321323233120
544434210321
64500410200
71131203010
oct271735730
9111638480
1048741336
11255710a6
12143a6960
13a137537
14668ac40
15442bd26
hex2e7bbd8

48741336 has 96 divisors (see below), whose sum is σ = 152574240. Its totient is φ = 13768704.

The previous prime is 48741313. The next prime is 48741337. The reversal of 48741336 is 63314784.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48741336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48741337) 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 23 ways as a sum of consecutive naturals, for example, 48390 + ... + 49386.

It is an arithmetic number, because the mean of its divisors is an integer number (1589315).

Almost surely, 248741336 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 48741336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76287120).

48741336 is an abundant number, since it is smaller than the sum of its proper divisors (103832904).

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

48741336 is a wasteful number, since it uses less digits than its factorization.

48741336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1106 counting only the distinct ones).

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

The square root of 48741336 is about 6981.4995523884. The cubic root of 48741336 is about 365.2855362490.

The spelling of 48741336 in words is "forty-eight million, seven hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 97 126 168 194 252 291 388 504 582 679 776 873 997 1164 1358 1746 1994 2037 2328 2716 2991 3492 3988 4074 5432 5982 6111 6979 6984 7976 8148 8973 11964 12222 13958 16296 17946 20937 23928 24444 27916 35892 41874 48888 55832 62811 71784 83748 96709 125622 167496 193418 251244 290127 386836 502488 580254 676963 773672 870381 1160508 1353926 1740762 2030889 2321016 2707852 3481524 4061778 5415704 6092667 6963048 8123556 12185334 16247112 24370668 48741336