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4209696 = 253247311
BaseRepresentation
bin10000000011110000100000
321220212121200
4100003300200
52034202241
6230121200
750532111
oct20036040
97825550
104209696
112415897
1214b0200
13b4515a
147b8208
155824b6
hex403c20

4209696 has 72 divisors (see below), whose sum is σ = 12265344. Its totient is φ = 1368960.

The previous prime is 4209683. The next prime is 4209719. The reversal of 4209696 is 6969024.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 411 + 211 + 0 + 94 + 6 + 94 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 4209696.

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, 13381 + ... + 13691.

It is an arithmetic number, because the mean of its divisors is an integer number (170352).

Almost surely, 24209696 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 4209696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672).

4209696 is an abundant number, since it is smaller than the sum of its proper divisors (8055648).

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

4209696 is a wasteful number, since it uses less digits than its factorization.

4209696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4209696 is about 2051.7543712638. The cubic root of 4209696 is about 161.4669263587.

The spelling of 4209696 in words is "four million, two hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 311 376 423 564 622 752 846 933 1128 1244 1504 1692 1866 2256 2488 2799 3384 3732 4512 4976 5598 6768 7464 9952 11196 13536 14617 14928 22392 29234 29856 43851 44784 58468 87702 89568 116936 131553 175404 233872 263106 350808 467744 526212 701616 1052424 1403232 2104848 4209696