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248342484 = 223132636053
BaseRepresentation
bin11101100110101…
…10011111010100
3122022022002211210
432303112133110
51002033424414
640350501420
76103606365
oct1663263724
9568262753
10248342484
11118201425
126b204870
133c5b2120
1424da7b6c
1516c07e59
hexecd67d4

248342484 has 48 divisors (see below), whose sum is σ = 626516352. Its totient is φ = 76109952.

The previous prime is 248342459. The next prime is 248342489. The reversal of 248342484 is 484243842.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248342489) 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 15 ways as a sum of consecutive naturals, for example, 38002 + ... + 44054.

It is an arithmetic number, because the mean of its divisors is an integer number (13052424).

Almost surely, 2248342484 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 248342484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313258176).

248342484 is an abundant number, since it is smaller than the sum of its proper divisors (378173868).

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

248342484 is a wasteful number, since it uses less digits than its factorization.

248342484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336 (or 6334 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The square root of 248342484 is about 15758.8858743250. The cubic root of 248342484 is about 628.5652105150.

The spelling of 248342484 in words is "two hundred forty-eight million, three hundred forty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 1052 1578 3156 3419 6053 6838 10257 12106 13676 18159 20514 24212 36318 41028 72636 78689 157378 236067 314756 472134 944268 1591939 3183878 4775817 6367756 9551634 19103268 20695207 41390414 62085621 82780828 124171242 248342484