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426148160 = 2659713729
BaseRepresentation
bin11001011001101…
…000000101000000
31002200212120101012
4121121220011000
51333043220120
6110141500052
713363125314
oct3131500500
91080776335
10426148160
111a9605469
12ba871628
136a398299
144084db44
152762b1c5
hex19668140

426148160 has 56 divisors (see below), whose sum is σ = 1025301480. Its totient is φ = 168689664.

The previous prime is 426148153. The next prime is 426148171. The reversal of 426148160 is 61841624.

It can be written as a sum of positive squares in 4 ways, for example, as 21977344 + 404170816 = 4688^2 + 20104^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24176 + ... + 37904.

It is an arithmetic number, because the mean of its divisors is an integer number (18308955).

Almost surely, 2426148160 is an apocalyptic number.

426148160 is a gapful number since it is divisible by the number (40) 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 426148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512650740).

426148160 is an abundant number, since it is smaller than the sum of its proper divisors (599153320).

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

426148160 is a wasteful number, since it uses less digits than its factorization.

426148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13843 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 426148160 is about 20643.3563162583. The cubic root of 426148160 is about 752.5237410787.

Adding to 426148160 its reverse (61841624), we get a palindrome (487989784).

The spelling of 426148160 in words is "four hundred twenty-six million, one hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 3104 3880 6208 7760 13729 15520 27458 31040 54916 68645 109832 137290 219664 274580 439328 549160 878656 1098320 1331713 2196640 2663426 4393280 5326852 6658565 10653704 13317130 21307408 26634260 42614816 53268520 85229632 106537040 213074080 426148160