Search a number
-
+
426342528 = 27371523
BaseRepresentation
bin11001011010010…
…111100010000000
31002201020110000000
4121122113202000
51333120430103
6110150000000
713364565063
oct3132274200
91081213000
10426342528
111a97284a7
12ba946000
136a4358b1
14408a08da
1527668aa3
hex19697880

426342528 has 128 divisors (see below), whose sum is σ = 1274673600. Its totient is φ = 142020864.

The previous prime is 426342523. The next prime is 426342529. The reversal of 426342528 is 825243624.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426342492 and 426342501.

It is not an unprimeable number, because it can be changed into a prime (426342523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279175 + ... + 280697.

Almost surely, 2426342528 is an apocalyptic number.

426342528 is a gapful number since it is divisible by the number (48) 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 426342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637336800).

426342528 is an abundant number, since it is smaller than the sum of its proper divisors (848331072).

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

426342528 is an frugal number, since it uses more digits than its factorization.

426342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1528 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 426342528 is about 20648.0635411653. The cubic root of 426342528 is about 752.6381334554.

The spelling of 426342528 in words is "four hundred twenty-six million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1523 1728 1944 2187 2592 2916 3046 3456 3888 4374 4569 5184 5832 6092 7776 8748 9138 10368 11664 12184 13707 15552 17496 18276 23328 24368 27414 31104 34992 36552 41121 46656 48736 54828 69984 73104 82242 93312 97472 109656 123363 139968 146208 164484 194944 219312 246726 279936 292416 328968 370089 438624 493452 584832 657936 740178 877248 986904 1110267 1315872 1480356 1754496 1973808 2220534 2631744 2960712 3330801 3947616 4441068 5263488 5921424 6661602 7895232 8882136 11842848 13323204 15790464 17764272 23685696 26646408 35528544 47371392 53292816 71057088 106585632 142114176 213171264 426342528