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4152288 = 253737167
BaseRepresentation
bin1111110101101111100000
321210221212110
433311233200
52030333123
6224555320
750202540
oct17655740
97727773
104152288
112386748
121482b40
13b24c9a
147a1320
15570493
hex3f5be0

4152288 has 96 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 1147392.

The previous prime is 4152283. The next prime is 4152289. The reversal of 4152288 is 8822514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4152283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24781 + ... + 24947.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 24152288 is an apocalyptic number.

4152288 is a gapful number since it is divisible by the number (48) 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 4152288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

4152288 is an abundant number, since it is smaller than the sum of its proper divisors (8717856).

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

4152288 is a wasteful number, since it uses less digits than its factorization.

4152288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 4152288 is about 2037.7163688796. The cubic root of 4152288 is about 160.7295847728.

The spelling of 4152288 in words is "four million, one hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 167 168 222 224 259 296 334 336 444 501 518 592 668 672 777 888 1002 1036 1169 1184 1336 1554 1776 2004 2072 2338 2672 3108 3507 3552 4008 4144 4676 5344 6179 6216 7014 8016 8288 9352 12358 12432 14028 16032 18537 18704 24716 24864 28056 37074 37408 43253 49432 56112 74148 86506 98864 112224 129759 148296 173012 197728 259518 296592 346024 519036 593184 692048 1038072 1384096 2076144 4152288