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4285272 = 2332947131
BaseRepresentation
bin10000010110001101011000
322001201021210
4100112031120
52044112042
6231503120
751265335
oct20261530
98051253
104285272
112467652
121527aa0
13b70684
147d798c
15599a9c
hex416358

4285272 has 64 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 1339520.

The previous prime is 4285249. The next prime is 4285313. The reversal of 4285272 is 2725824.

It is a super-3 number, since 3×42852723 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32647 + ... + 32777.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 24285272 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 4285272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

4285272 is an abundant number, since it is smaller than the sum of its proper divisors (7119528).

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

4285272 is a wasteful number, since it uses less digits than its factorization.

4285272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 4285272 is about 2070.0898531223. The cubic root of 4285272 is about 162.4274642737.

It can be divided in two parts, 42852 and 72, that added together give a palindrome (42924).

The spelling of 4285272 in words is "four million, two hundred eighty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 131 141 174 188 232 262 282 348 376 393 524 564 696 786 1048 1128 1363 1572 2726 3144 3799 4089 5452 6157 7598 8178 10904 11397 12314 15196 16356 18471 22794 24628 30392 32712 36942 45588 49256 73884 91176 147768 178553 357106 535659 714212 1071318 1428424 2142636 4285272