Search a number
-
+
2048238544 = 241119958481
BaseRepresentation
bin111101000010101…
…1010001111010000
312021202010022001211
41322011122033100
513143322113134
6535124505504
7101520511642
oct17205321720
95252108054
102048238544
119611a4a30
12491b4b294
13268466a91
14156054892
15bec40764
hex7a15a3d0

2048238544 has 40 divisors (see below), whose sum is σ = 4351060800. Its totient is φ = 926323200.

The previous prime is 2048238539. The next prime is 2048238547. The reversal of 2048238544 is 4458328402.

It is a super-2 number, since 2×20482385442 = 8390562266254479872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2048238497 and 2048238506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048238547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5784 + ... + 64264.

It is an arithmetic number, because the mean of its divisors is an integer number (108776520).

Almost surely, 22048238544 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 2048238544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175530400).

2048238544 is an abundant number, since it is smaller than the sum of its proper divisors (2302822256).

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

2048238544 is a wasteful number, since it uses less digits than its factorization.

2048238544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58699 (or 58693 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 2048238544 is about 45257.4694829483. The cubic root of 2048238544 is about 1269.9701449985.

The spelling of 2048238544 in words is "two billion, forty-eight million, two hundred thirty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 199 398 796 1592 2189 3184 4378 8756 17512 35024 58481 116962 233924 467848 643291 935696 1286582 2573164 5146328 10292656 11637719 23275438 46550876 93101752 128014909 186203504 256029818 512059636 1024119272 2048238544