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4248072 = 233371277
BaseRepresentation
bin10000001101001000001000
321222211021000
4100031020020
52041414242
6231015000
751052023
oct20151010
97884230
104248072
112441704
12150a460
13b5976a
147c81ba
1558da4c
hex40d208

4248072 has 64 divisors (see below), whose sum is σ = 12009600. Its totient is φ = 1391040.

The previous prime is 4248071. The next prime is 4248073. The reversal of 4248072 is 2708424.

It is an interprime number because it is at equal distance from previous prime (4248071) and next prime (4248073).

It is a super-2 number, since 2×42480722 = 36092231434368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4248071) 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, 15198 + ... + 15474.

It is an arithmetic number, because the mean of its divisors is an integer number (187650).

Almost surely, 24248072 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 4248072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004800).

4248072 is an abundant number, since it is smaller than the sum of its proper divisors (7761528).

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

4248072 is a wasteful number, since it uses less digits than its factorization.

4248072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4248072 is about 2061.0851510794. The cubic root of 4248072 is about 161.9560923530.

The spelling of 4248072 in words is "four million, two hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 277 284 426 554 568 639 831 852 1108 1278 1662 1704 1917 2216 2493 2556 3324 3834 4986 5112 6648 7479 7668 9972 14958 15336 19667 19944 29916 39334 59001 59832 78668 118002 157336 177003 236004 354006 472008 531009 708012 1062018 1416024 2124036 4248072