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4129232 = 241721947
BaseRepresentation
bin1111110000000111010000
321202210020112
433300013100
52024113412
6224300452
750045402
oct17600720
97683215
104129232
112370398
121471728
13b17643
14796b72
15568722
hex3f01d0

4129232 has 60 divisors (see below), whose sum is σ = 9136320. Its totient is φ = 1801728.

The previous prime is 4129199. The next prime is 4129241. The reversal of 4129232 is 2329214.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (864) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 4129198 and 4129207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87833 + ... + 87879.

It is an arithmetic number, because the mean of its divisors is an integer number (152272).

Almost surely, 24129232 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 4129232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568160).

4129232 is an abundant number, since it is smaller than the sum of its proper divisors (5007088).

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

4129232 is a wasteful number, since it uses less digits than its factorization.

4129232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 85 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 4129232 is about 2032.0511804578. The cubic root of 4129232 is about 160.4315433515.

The spelling of 4129232 in words is "four million, one hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 34 38 47 68 76 94 136 152 188 272 289 304 323 376 578 646 752 799 893 1156 1292 1598 1786 2312 2584 3196 3572 4624 5168 5491 6392 7144 10982 12784 13583 14288 15181 21964 27166 30362 43928 54332 60724 87856 108664 121448 217328 242896 258077 516154 1032308 2064616 4129232