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426192448 = 261117149239
BaseRepresentation
bin11001011001110…
…010111001000000
31002200221211010111
4121121302321000
51333101124243
6110142441104
713363401403
oct3131627100
91080854114
10426192448
111a9635770
12ba893194
136a3b24a6
1440861d3a
152763939d
hex19672e40

426192448 has 112 divisors (see below), whose sum is σ = 987552000. Its totient is φ = 180346880.

The previous prime is 426192413. The next prime is 426192457. The reversal of 426192448 is 844291624.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 426192448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783113 + ... + 1783351.

Almost surely, 2426192448 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 426192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776000).

426192448 is an abundant number, since it is smaller than the sum of its proper divisors (561359552).

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

426192448 is a wasteful number, since it uses less digits than its factorization.

426192448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 426192448 is about 20644.4289821734. The cubic root of 426192448 is about 752.5498091775.

The spelling of 426192448 in words is "four hundred twenty-six million, one hundred ninety-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 149 176 187 239 272 298 352 374 478 544 596 704 748 956 1088 1192 1496 1639 1912 2384 2533 2629 2992 3278 3824 4063 4768 5066 5258 5984 6556 7648 8126 9536 10132 10516 11968 13112 15296 16252 20264 21032 26224 27863 32504 35611 40528 42064 44693 52448 55726 65008 71222 81056 84128 89386 104896 111452 130016 142444 162112 168256 178772 222904 260032 284888 357544 391721 445808 569776 605387 715088 783442 891616 1139552 1210774 1430176 1566884 1783232 2279104 2421548 2860352 3133768 4843096 6267536 6659257 9686192 12535072 13318514 19372384 25070144 26637028 38744768 53274056 106548112 213096224 426192448