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424121508 = 22351725667
BaseRepresentation
bin11001010001111…
…001010010100100
31002120001121100000
4121101321102210
51332033342013
6110030221300
713336654566
oct3121712244
91076047300
10424121508
111a8450848
12ba054830
1369b38995
1440483336
152737a973
hex194794a4

424121508 has 72 divisors (see below), whose sum is σ = 1177237152. Its totient is φ = 133052544.

The previous prime is 424121443. The next prime is 424121521. The reversal of 424121508 is 805121424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3691 + ... + 29357.

It is an arithmetic number, because the mean of its divisors is an integer number (16350516).

Almost surely, 2424121508 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 424121508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588618576).

424121508 is an abundant number, since it is smaller than the sum of its proper divisors (753115644).

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

424121508 is a wasteful number, since it uses less digits than its factorization.

424121508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25703 (or 25689 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 424121508 is about 20594.2105456849. The cubic root of 424121508 is about 751.3289079475.

The spelling of 424121508 in words is "four hundred twenty-four million, one hundred twenty-one thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 25667 51334 77001 102668 154002 231003 308004 436339 462006 693009 872678 924012 1309017 1386018 1745356 2079027 2618034 2772036 3927051 4158054 5236068 6237081 7854102 8316108 11781153 12474162 15708204 23562306 24948324 35343459 47124612 70686918 106030377 141373836 212060754 424121508