Search a number
-
+
2426674464 = 25343672551
BaseRepresentation
bin1001000010100100…
…0001110100100000
320021010012211120000
42100221001310200
514432212040324
61040444020000
7114064251444
oct22051016440
96233184500
102426674464
111035881495
12578831600
132c8998066
14190404824
15e30949c9
hex90a41d20

2426674464 has 120 divisors (see below), whose sum is σ = 7159033728. Its totient is φ = 806371200.

The previous prime is 2426674463. The next prime is 2426674487. The reversal of 2426674464 is 4644766242.

It is not an unprimeable number, because it can be changed into a prime (2426674463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 949989 + ... + 952539.

Almost surely, 22426674464 is an apocalyptic number.

2426674464 is a gapful number since it is divisible by the number (24) 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 2426674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579516864).

2426674464 is an abundant number, since it is smaller than the sum of its proper divisors (4732359264).

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

2426674464 is a wasteful number, since it uses less digits than its factorization.

2426674464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2923 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 2426674464 is about 49261.2876810990. The cubic root of 2426674464 is about 1343.8078488050.

The spelling of 2426674464 in words is "two billion, four hundred twenty-six million, six hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 367 432 648 734 864 1101 1296 1468 2202 2551 2592 2936 3303 4404 5102 5872 6606 7653 8808 9909 10204 11744 13212 15306 17616 19818 20408 22959 26424 29727 30612 35232 39636 40816 45918 52848 59454 61224 68877 79272 81632 91836 105696 118908 122448 137754 158544 183672 206631 237816 244896 275508 317088 367344 413262 475632 551016 734688 826524 936217 951264 1102032 1653048 1872434 2204064 2808651 3306096 3744868 5617302 6612192 7489736 8425953 11234604 14979472 16851906 22469208 25277859 29958944 33703812 44938416 50555718 67407624 75833577 89876832 101111436 134815248 151667154 202222872 269630496 303334308 404445744 606668616 808891488 1213337232 2426674464