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425420512 = 251121723281
BaseRepresentation
bin11001010110110…
…110011011100000
31002122111121020021
4121112312123200
51332401424022
6110114123224
713354005016
oct3126663340
91078447207
10425420512
111a9158800
12ba580514
136a1a201a
14407008b6
15275357c7
hex195b66e0

425420512 has 144 divisors (see below), whose sum is σ = 1020763296. Its totient is φ = 173465600.

The previous prime is 425420509. The next prime is 425420519. The reversal of 425420512 is 215024524.

It is a super-2 number, since 2×4254205122 = 361965224060684288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425420519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513812 + ... + 1514092.

It is an arithmetic number, because the mean of its divisors is an integer number (7088634).

Almost surely, 2425420512 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 425420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510381648).

425420512 is an abundant number, since it is smaller than the sum of its proper divisors (595342784).

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

425420512 is a wasteful number, since it uses less digits than its factorization.

425420512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

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

The square root of 425420512 is about 20625.7245206078. The cubic root of 425420512 is about 752.0951856274.

It can be divided in two parts, 4254205 and 12, that multiplied together give a triangular number (51050460 = T10104).

The spelling of 425420512 in words is "four hundred twenty-five million, four hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 88 92 121 136 176 184 187 242 253 272 281 352 368 374 391 484 506 544 562 736 748 782 968 1012 1124 1496 1564 1936 2024 2057 2248 2783 2992 3091 3128 3872 4048 4114 4301 4496 4777 5566 5984 6182 6256 6463 8096 8228 8602 8992 9554 11132 12364 12512 12926 16456 17204 19108 22264 24728 25852 32912 34001 34408 38216 44528 47311 49456 51704 52547 65824 68002 68816 71093 76432 89056 94622 98912 103408 105094 109871 136004 137632 142186 152864 189244 206816 210188 219742 272008 284372 378488 420376 439484 544016 568744 578017 756976 782023 840752 878968 1088032 1137488 1156034 1208581 1513952 1564046 1681504 1757936 2274976 2312068 2417162 3128092 3515872 4624136 4834324 6256184 9248272 9668648 12512368 13294391 18496544 19337296 25024736 26588782 38674592 53177564 106355128 212710256 425420512