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4258240 = 26571901
BaseRepresentation
bin10000001111100111000000
322000100012121
4100033213000
52042230430
6231134024
751123460
oct20174700
98010177
104258240
112449308
121514314
13b6128c
147cbba0
15591a7a
hex40f9c0

4258240 has 56 divisors (see below), whose sum is σ = 11594592. Its totient is φ = 1459200.

The previous prime is 4258237. The next prime is 4258249. The reversal of 4258240 is 428524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290 + ... + 3190.

Almost surely, 24258240 is an apocalyptic number.

4258240 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 4258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797296).

4258240 is an abundant number, since it is smaller than the sum of its proper divisors (7336352).

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

4258240 is a wasteful number, since it uses less digits than its factorization.

4258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4258240 is about 2063.5503386155. The cubic root of 4258240 is about 162.0852064085.

The spelling of 4258240 in words is "four million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1901 2240 3802 7604 9505 13307 15208 19010 26614 30416 38020 53228 60832 66535 76040 106456 121664 133070 152080 212912 266140 304160 425824 532280 608320 851648 1064560 2129120 4258240