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4129696 = 252331181
BaseRepresentation
bin1111110000001110100000
321202210212201
433300032200
52024122241
6224302544
750046634
oct17601640
97683781
104129696
11237077a
121471a54
13b1790c
14796dc4
15568931
hex3f03a0

4129696 has 48 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 1900800.

The previous prime is 4129667. The next prime is 4129721. The reversal of 4129696 is 6969214.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22726 + ... + 22906.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 24129696 is an apocalyptic number.

4129696 is a gapful number since it is divisible by the number (46) 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 4129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

4129696 is an abundant number, since it is smaller than the sum of its proper divisors (4676192).

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

4129696 is a wasteful number, since it uses less digits than its factorization.

4129696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 4129696 is about 2032.1653476034. The cubic root of 4129696 is about 160.4375523340.

The spelling of 4129696 in words is "four million, one hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 181 184 248 362 368 496 713 724 736 992 1426 1448 2852 2896 4163 5611 5704 5792 8326 11222 11408 16652 22444 22816 33304 44888 66608 89776 129053 133216 179552 258106 516212 1032424 2064848 4129696