Search a number
-
+
424525120 = 2651326641
BaseRepresentation
bin11001010011011…
…011110101000000
31002120211002222121
4121103123311000
51332134300440
6110043014024
713343255365
oct3123336500
91076732877
10424525120
111a86a7008
12ba20a314
1369c4a5c6
144054a46c
152740a34a
hex194dbd40

424525120 has 28 divisors (see below), whose sum is σ = 1010901204. Its totient is φ = 169809920.

The previous prime is 424525093. The next prime is 424525121. The reversal of 424525120 is 21525424.

It can be written as a sum of positive squares in 2 ways, for example, as 275294464 + 149230656 = 16592^2 + 12216^2 .

It is a super-2 number, since 2×4245251202 = 360443155022028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424525121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663001 + ... + 663640.

Almost surely, 2424525120 is an apocalyptic number.

424525120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424525120 is an abundant number, since it is smaller than the sum of its proper divisors (586376084).

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

424525120 is a wasteful number, since it uses less digits than its factorization.

424525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326658 (or 1326648 counting only the distinct ones).

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

The square root of 424525120 is about 20604.0073772070. The cubic root of 424525120 is about 751.5671645277.

The spelling of 424525120 in words is "four hundred twenty-four million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1326641 2653282 5306564 6633205 10613128 13266410 21226256 26532820 42452512 53065640 84905024 106131280 212262560 424525120