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424025152 = 2617616389
BaseRepresentation
bin11001010001100…
…001110001000000
31002112212201011021
4121101201301000
51332022301102
6110024155224
713336103635
oct3121416100
91075781137
10424025152
111a8395411
12ba008b14
1369b03b75
144045a18c
152735c137
hex19461c40

424025152 has 56 divisors (see below), whose sum is σ = 905667480. Its totient is φ = 196239360.

The previous prime is 424025141. The next prime is 424025179. The reversal of 424025152 is 251520424.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 417139776 = 2624^2 + 20424^2 .

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, 63174 + ... + 69562.

Almost surely, 2424025152 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 424025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452833740).

424025152 is an abundant number, since it is smaller than the sum of its proper divisors (481642328).

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

424025152 is a wasteful number, since it uses less digits than its factorization.

424025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 424025152 is about 20591.8710174671. The cubic root of 424025152 is about 751.2720055975.

Adding to 424025152 its reverse (251520424), we get a palindrome (675545576).

It can be divided in two parts, 4240 and 25152, that added together give a palindrome (29392).

The spelling of 424025152 in words is "four hundred twenty-four million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 488 544 976 1037 1088 1952 2074 3904 4148 6389 8296 12778 16592 25556 33184 51112 66368 102224 108613 204448 217226 389729 408896 434452 779458 868904 1558916 1737808 3117832 3475616 6235664 6625393 6951232 12471328 13250786 24942656 26501572 53003144 106006288 212012576 424025152