Search a number
-
+
426298464 = 25341631009
BaseRepresentation
bin11001011010001…
…100110001100000
31002201011012120000
4121122030301200
51333113022324
6110145020000
713364322444
oct3132146140
91081135500
10426298464
111a96a8389
12ba924600
136a41b817
144088c824
152765a9c9
hex1968cc60

426298464 has 120 divisors (see below), whose sum is σ = 1262673720. Its totient is φ = 141087744.

The previous prime is 426298427. The next prime is 426298471. The reversal of 426298464 is 464892624.

426298464 is a `hidden beast` number, since 42 + 62 + 98 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 421992 + ... + 423000.

It is an arithmetic number, because the mean of its divisors is an integer number (10522281).

Almost surely, 2426298464 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 426298464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631336860).

426298464 is an abundant number, since it is smaller than the sum of its proper divisors (836375256).

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

426298464 is a wasteful number, since it uses less digits than its factorization.

426298464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1177 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 426298464 is about 20646.9964885937. The cubic root of 426298464 is about 752.6122032958.

The spelling of 426298464 in words is "four hundred twenty-six million, two hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 163 216 288 324 326 432 489 648 652 864 978 1009 1296 1304 1467 1956 2018 2592 2608 2934 3027 3912 4036 4401 5216 5868 6054 7824 8072 8802 9081 11736 12108 13203 15648 16144 17604 18162 23472 24216 26406 27243 32288 35208 36324 46944 48432 52812 54486 70416 72648 81729 96864 105624 108972 140832 145296 163458 164467 211248 217944 290592 326916 328934 422496 435888 493401 653832 657868 871776 986802 1307664 1315736 1480203 1973604 2615328 2631472 2960406 3947208 4440609 5262944 5920812 7894416 8881218 11841624 13321827 15788832 17762436 23683248 26643654 35524872 47366496 53287308 71049744 106574616 142099488 213149232 426298464