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4248240 = 243531571
BaseRepresentation
bin10000001101001010110000
321222211111020
4100031022300
52041420430
6231015440
751052353
oct20151260
97884436
104248240
112441847
12150a580
13b59869
147c829a
1558db10
hex40d2b0

4248240 has 80 divisors (see below), whose sum is σ = 13618176. Its totient is φ = 1094400.

The previous prime is 4248227. The next prime is 4248253. The reversal of 4248240 is 428424.

It is an interprime number because it is at equal distance from previous prime (4248227) and next prime (4248253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4248240.

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, 7155 + ... + 7725.

Almost surely, 24248240 is an apocalyptic number.

4248240 is a gapful number since it is divisible by the number (40) 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 4248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809088).

4248240 is an abundant number, since it is smaller than the sum of its proper divisors (9369936).

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

4248240 is a wasteful number, since it uses less digits than its factorization.

4248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4248240 is about 2061.1259059068. The cubic root of 4248240 is about 161.9582273030.

The spelling of 4248240 in words is "four million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 571 620 744 930 1142 1240 1488 1713 1860 2284 2480 2855 3426 3720 4568 5710 6852 7440 8565 9136 11420 13704 17130 17701 22840 27408 34260 35402 45680 53103 68520 70804 88505 106206 137040 141608 177010 212412 265515 283216 354020 424824 531030 708040 849648 1062060 1416080 2124120 4248240