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4257084 = 2231329941
BaseRepresentation
bin10000001111010100111100
322000021121210
4100033110330
52042211314
6231124420
751120216
oct20172474
98007553
104257084
112448457
121513710
13b608b0
147cb5b6
15591559
hex40f53c

4257084 has 48 divisors (see below), whose sum is σ = 11077920. Its totient is φ = 1263360.

The previous prime is 4257067. The next prime is 4257101. The reversal of 4257084 is 4807524.

It is an interprime number because it is at equal distance from previous prime (4257067) and next prime (4257101).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4054 + ... + 4994.

It is an arithmetic number, because the mean of its divisors is an integer number (230790).

Almost surely, 24257084 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 4257084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538960).

4257084 is an abundant number, since it is smaller than the sum of its proper divisors (6820836).

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

4257084 is a wasteful number, since it uses less digits than its factorization.

4257084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 4257084 is about 2063.2702198210. The cubic root of 4257084 is about 162.0705377930.

The spelling of 4257084 in words is "four million, two hundred fifty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 941 1131 1508 1882 2262 2823 3764 4524 5646 11292 12233 24466 27289 36699 48932 54578 73398 81867 109156 146796 163734 327468 354757 709514 1064271 1419028 2128542 4257084