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426224448 = 26321356921
BaseRepresentation
bin11001011001111…
…010101101000000
31002201000110000200
4121121322231000
51333103140243
6110143245200
713363563606
oct3131725500
91081013020
10426224448
111a9657811
12ba8a9800
136a3c3c20
144086d876
1527643ad3
hex1967ab40

426224448 has 84 divisors (see below), whose sum is σ = 1315695108. Its totient is φ = 131143680.

The previous prime is 426224441. The next prime is 426224467. The reversal of 426224448 is 844422624.

It is a happy number.

426224448 is a `hidden beast` number, since 426 + 224 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234457344 + 191767104 = 15312^2 + 13848^2 .

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426224441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20973 + ... + 35948.

It is an arithmetic number, because the mean of its divisors is an integer number (15663037).

Almost surely, 2426224448 is an apocalyptic number.

426224448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

426224448 is an abundant number, since it is smaller than the sum of its proper divisors (889470660).

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

426224448 is a wasteful number, since it uses less digits than its factorization.

426224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56952 (or 56939 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 426224448 is about 20645.2039951171. The cubic root of 426224448 is about 752.5686433851.

The spelling of 426224448 in words is "four hundred twenty-six million, two hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 56921 113842 170763 227684 341526 455368 512289 683052 739973 910736 1024578 1366104 1479946 1821472 2049156 2219919 2732208 2959892 3642944 4098312 4439838 5464416 5919784 6659757 8196624 8879676 10928832 11839568 13319514 16393248 17759352 23679136 26639028 32786496 35518704 47358272 53278056 71037408 106556112 142074816 213112224 426224448