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424082240 = 2652635039
BaseRepresentation
bin11001010001101…
…111101101000000
31002112222121110122
4121101233231000
51332031112430
6110025315412
713336432241
oct3121575500
91075877418
10424082240
111a842429a
12ba035b68
1369b23b4a
1440472cc8
152736dee5
hex1946fb40

424082240 has 56 divisors (see below), whose sum is σ = 1013886720. Its totient is φ = 168954368.

The previous prime is 424082237. The next prime is 424082249. The reversal of 424082240 is 42280424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424082249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81641 + ... + 86679.

It is an arithmetic number, because the mean of its divisors is an integer number (18105120).

Almost surely, 2424082240 is an apocalyptic number.

424082240 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 424082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506943360).

424082240 is an abundant number, since it is smaller than the sum of its proper divisors (589804480).

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

424082240 is a wasteful number, since it uses less digits than its factorization.

424082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 424082240 is about 20593.2571488825. The cubic root of 424082240 is about 751.3057195502.

The spelling of 424082240 in words is "four hundred twenty-four million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 263 320 526 1052 1315 2104 2630 4208 5039 5260 8416 10078 10520 16832 20156 21040 25195 40312 42080 50390 80624 84160 100780 161248 201560 322496 403120 806240 1325257 1612480 2650514 5301028 6626285 10602056 13252570 21204112 26505140 42408224 53010280 84816448 106020560 212041120 424082240