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48405084 = 223713192333
BaseRepresentation
bin1011100010100…
…1101001011100
310101002020021220
42320221221130
544342430314
64445253340
71125302460
oct270515134
9111066256
1048405084
1125361502
1214264250
13a04a480
1466004a0
1543b23a9
hex2e29a5c

48405084 has 96 divisors (see below), whose sum is σ = 146388480. Its totient is φ = 12089088.

The previous prime is 48405083. The next prime is 48405113. The reversal of 48405084 is 48050484.

48405084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48405083) 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 31 ways as a sum of consecutive naturals, for example, 19582 + ... + 21914.

It is an arithmetic number, because the mean of its divisors is an integer number (1524880).

Almost surely, 248405084 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 48405084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73194240).

48405084 is an abundant number, since it is smaller than the sum of its proper divisors (97983396).

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

48405084 is a wasteful number, since it uses less digits than its factorization.

48405084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 48405084 is about 6957.3762295854. The cubic root of 48405084 is about 364.4435983715.

The spelling of 48405084 in words is "forty-eight million, four hundred five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2333 2964 3458 4666 5187 6916 6999 9332 10374 13998 16331 20748 27996 30329 32662 44327 48993 60658 65324 88654 90987 97986 121316 132981 177308 181974 195972 212303 265962 310289 363948 424606 531924 576251 620578 636909 849212 930867 1152502 1241156 1273818 1728753 1861734 2305004 2547636 3457506 3723468 4033757 6915012 8067514 12101271 16135028 24202542 48405084