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4201056 = 253229503
BaseRepresentation
bin10000000001101001100000
321220102202200
4100001221200
52033413211
6230013200
750464656
oct20015140
97812680
104201056
11240a352
1214a7200
13b41242
147b4dd6
1557eb56
hex401a60

4201056 has 72 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1349376.

The previous prime is 4201051. The next prime is 4201063. The reversal of 4201056 is 6501024.

It is a happy number.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8101 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 24201056 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 4201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4201056 is an abundant number, since it is smaller than the sum of its proper divisors (8182224).

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

4201056 is a wasteful number, since it uses less digits than its factorization.

4201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4201056 is about 2049.6477746188. The cubic root of 4201056 is about 161.3563855380.

Subtracting 4201056 from its reverse (6501024), we obtain a cube (2299968 = 1323).

The spelling of 4201056 in words is "four million, two hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 503 522 696 928 1006 1044 1392 1509 2012 2088 2784 3018 4024 4176 4527 6036 8048 8352 9054 12072 14587 16096 18108 24144 29174 36216 43761 48288 58348 72432 87522 116696 131283 144864 175044 233392 262566 350088 466784 525132 700176 1050264 1400352 2100528 4201056