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426358260 = 223257929983
BaseRepresentation
bin11001011010011…
…011010111110100
31002201021020120200
4121122123113310
51333121431020
6110150200500
713364661666
oct3132332764
91081236520
10426358260
111a97392a9
12ba953130
136a43cac3
14408a6536
152766d590
hex1969b5f4

426358260 has 72 divisors (see below), whose sum is σ = 1309701120. Its totient is φ = 112252608.

The previous prime is 426358259. The next prime is 426358267. The reversal of 426358260 is 62853624.

426358260 is a `hidden beast` number, since 42 + 6 + 358 + 260 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426358267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772 + ... + 29211.

Almost surely, 2426358260 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 426358260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654850560).

426358260 is an abundant number, since it is smaller than the sum of its proper divisors (883342860).

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

426358260 is a wasteful number, since it uses less digits than its factorization.

426358260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30077 (or 30072 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 426358260 is about 20648.4444934721. Note that the first 4 decimals coincide. The cubic root of 426358260 is about 752.6473907674.

The spelling of 426358260 in words is "four hundred twenty-six million, three hundred fifty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 29983 59966 89949 119932 149915 179898 269847 299830 359796 449745 539694 599660 899490 1079388 1349235 1798980 2368657 2698470 4737314 5396940 7105971 9474628 11843285 14211942 21317913 23686570 28423884 35529855 42635826 47373140 71059710 85271652 106589565 142119420 213179130 426358260