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2423531440 = 2451113121023
BaseRepresentation
bin1001000001110100…
…0010011110110000
320020220022011010201
42100131002132300
514430411001230
61040252404544
7114025451221
oct22035023660
96226264121
102423531440
111034025050
12577776754
132c8137595
1418dc27248
15e2b735ca
hex907427b0

2423531440 has 80 divisors (see below), whose sum is σ = 6194174976. Its totient is φ = 874515200.

The previous prime is 2423531419. The next prime is 2423531449. The reversal of 2423531440 is 441353242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2423531399 and 2423531408.

It is not an unprimeable number, because it can be changed into a prime (2423531449) 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 15 ways as a sum of consecutive naturals, for example, 104769 + ... + 125791.

Almost surely, 22423531440 is an apocalyptic number.

2423531440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097087488).

2423531440 is an abundant number, since it is smaller than the sum of its proper divisors (3770643536).

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

2423531440 is a wasteful number, since it uses less digits than its factorization.

2423531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21178 (or 21172 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2423531440 is about 49229.3757831643. The cubic root of 2423531440 is about 1343.2274323859.

Adding to 2423531440 its reverse (441353242), we get a palindrome (2864884682).

The spelling of 2423531440 in words is "two billion, four hundred twenty-three million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 262 440 524 655 880 1048 1310 1441 2096 2620 2882 5240 5764 7205 10480 11528 14410 21023 23056 28820 42046 57640 84092 105115 115280 168184 210230 231253 336368 420460 462506 840920 925012 1156265 1681840 1850024 2312530 2754013 3700048 4625060 5508026 9250120 11016052 13770065 18500240 22032104 27540130 30294143 44064208 55080260 60588286 110160520 121176572 151470715 220321040 242353144 302941430 484706288 605882860 1211765720 2423531440