Search a number
-
+
2701252398 = 2313222911633
BaseRepresentation
bin1010000100000001…
…1101011100101110
320222020212211200010
42201000131130232
521013010034043
61124013114050
7123640160265
oct24100353456
96866784603
102701252398
1111668719a9
12634788926
13340834800
141b8a7b5dc
1510c231133
hexa101d72e

2701252398 has 48 divisors (see below), whose sum is σ = 5876100720. Its totient is φ = 827453952.

The previous prime is 2701252397. The next prime is 2701252441. The reversal of 2701252398 is 8932521072.

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 (2701252397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226390 + ... + 238022.

It is an arithmetic number, because the mean of its divisors is an integer number (122418765).

Almost surely, 22701252398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701252398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938050360).

2701252398 is an abundant number, since it is smaller than the sum of its proper divisors (3174848322).

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

2701252398 is a wasteful number, since it uses less digits than its factorization.

2701252398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2701252398 is about 51973.5740352730. The cubic root of 2701252398 is about 1392.6919174170.

It can be divided in two parts, 2701252 and 398, that added together give a triangular number (2701650 = T2324).

The spelling of 2701252398 in words is "two billion, seven hundred one million, two hundred fifty-two thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 169 229 338 458 507 687 1014 1374 2977 5954 8931 11633 17862 23266 34899 38701 69798 77402 116103 151229 232206 302458 453687 907374 1965977 2663957 3931954 5327914 5897931 7991871 11795862 15983742 34631441 69262882 103894323 207788646 450208733 900417466 1350626199 2701252398