Search a number
-
+
48384924 = 223717311093
BaseRepresentation
bin1011100010010…
…0101110011100
310101001012122020
42320210232130
544341304144
64445020140
71125156630
oct270445634
9111035566
1048384924
1125348345
1214254650
13a041243
1465d6dc0
1543ab419
hex2e24b9c

48384924 has 96 divisors (see below), whose sum is σ = 141152256. Its totient is φ = 12579840.

The previous prime is 48384901. The next prime is 48384929. The reversal of 48384924 is 42948384.

48384924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×483849242 = 4682201740971552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48384929) 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, 43722 + ... + 44814.

It is an arithmetic number, because the mean of its divisors is an integer number (1470336).

Almost surely, 248384924 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 48384924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70576128).

48384924 is an abundant number, since it is smaller than the sum of its proper divisors (92767332).

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

48384924 is a wasteful number, since it uses less digits than its factorization.

48384924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1153 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 48384924 is about 6955.9272566639. The cubic root of 48384924 is about 364.3929962269.

The spelling of 48384924 in words is "forty-eight million, three hundred eighty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1093 1302 1428 1581 2108 2186 2604 3162 3279 3689 4372 6324 6558 7378 7651 11067 13116 14756 15302 18581 22134 22953 30604 33883 37162 44268 45906 55743 67766 74324 91812 101649 111486 130067 135532 203298 222972 237181 260134 390201 406596 474362 520268 576011 711543 780402 948724 1152022 1423086 1560804 1728033 2304044 2846172 3456066 4032077 6912132 8064154 12096231 16128308 24192462 48384924