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1042524 = 223372197
BaseRepresentation
bin11111110100001011100
31221222002000
43332201130
5231330044
634202300
711601300
oct3764134
91858060
101042524
1165229a
12423390
132a66a2
141d1d00
15158d69
hexfe85c

1042524 has 72 divisors (see below), whose sum is σ = 3160080. Its totient is φ = 296352.

The previous prime is 1042523. The next prime is 1042529. The reversal of 1042524 is 4252401.

1042524 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1042497 and 1042506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5194 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (43890).

21042524 is an apocalyptic number.

1042524 is a gapful number since it is divisible by the number (14) 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 1042524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580040).

1042524 is an abundant number, since it is smaller than the sum of its proper divisors (2117556).

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

1042524 is a wasteful number, since it uses less digits than its factorization.

1042524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1042524 is about 1021.0406456160. The cubic root of 1042524 is about 101.3978361640.

Adding to 1042524 its reverse (4252401), we get a palindrome (5294925).

It can be divided in two parts, 104 and 2524, that added together give a triangular number (2628 = T72).

The spelling of 1042524 in words is "one million, forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 197 252 294 378 394 441 588 591 756 788 882 1182 1323 1379 1764 1773 2364 2646 2758 3546 4137 5292 5319 5516 7092 8274 9653 10638 12411 16548 19306 21276 24822 28959 37233 38612 49644 57918 74466 86877 115836 148932 173754 260631 347508 521262 1042524