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4257468 = 223379499
BaseRepresentation
bin10000001111011010111100
322000022011000
4100033122330
52042214333
6231130300
751121305
oct20173274
98008130
104257468
112448776
121513990
13b60b17
147cb7ac
15591713
hex40f6bc

4257468 has 48 divisors (see below), whose sum is σ = 11200000. Its totient is φ = 1398384.

The previous prime is 4257467. The next prime is 4257469. The reversal of 4257468 is 8647524.

It is an interprime number because it is at equal distance from previous prime (4257467) and next prime (4257469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 46 + 213 + 5 + 75 + 411 + 64 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257467) 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, 8283 + ... + 8781.

Almost surely, 24257468 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 4257468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600000).

4257468 is an abundant number, since it is smaller than the sum of its proper divisors (6942532).

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

4257468 is a wasteful number, since it uses less digits than its factorization.

4257468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4257468 is about 2063.3632738808. The cubic root of 4257468 is about 162.0754107072.

The spelling of 4257468 in words is "four million, two hundred fifty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 499 711 948 998 1422 1497 1996 2133 2844 2994 4266 4491 5988 8532 8982 13473 17964 26946 39421 53892 78842 118263 157684 236526 354789 473052 709578 1064367 1419156 2128734 4257468