Search a number
-
+
1052522316 = 223341251947
BaseRepresentation
bin111110101111000…
…011011101001100
32201100111200012000
4332233003131030
54123421203231
6252235112300
735040202116
oct7657033514
92640450160
101052522316
114a013765a
122545a2690
1313a099691
149db003b6
15626086e6
hex3ebc374c

1052522316 has 96 divisors (see below), whose sum is σ = 2809416960. Its totient is φ = 340560000.

The previous prime is 1052522291. The next prime is 1052522321. The reversal of 1052522316 is 6132252501.

It is a happy number.

1052522316 is a `hidden beast` number, since 105 + 2 + 522 + 31 + 6 = 666.

It is a super-2 number, since 2×10525223162 = 2215606451356007712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1052522316.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1110955 + ... + 1111901.

It is an arithmetic number, because the mean of its divisors is an integer number (29264760).

Almost surely, 21052522316 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 1052522316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404708480).

1052522316 is an abundant number, since it is smaller than the sum of its proper divisors (1756894644).

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

1052522316 is a wasteful number, since it uses less digits than its factorization.

1052522316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1052522316 is about 32442.6003273474. The cubic root of 1052522316 is about 1017.2095703721.

Adding to 1052522316 its reverse (6132252501), we get a palindrome (7184774817).

The spelling of 1052522316 in words is "one billion, fifty-two million, five hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 251 369 492 502 738 753 947 1004 1107 1476 1506 1894 2214 2259 2841 3012 3788 4428 4518 5682 6777 8523 9036 10291 11364 13554 17046 20582 25569 27108 30873 34092 38827 41164 51138 61746 77654 92619 102276 116481 123492 155308 185238 232962 237697 277857 349443 370476 465924 475394 555714 698886 713091 950788 1048329 1111428 1397772 1426182 2096658 2139273 2852364 4193316 4278546 6417819 8557092 9745577 12835638 19491154 25671276 29236731 38982308 58473462 87710193 116946924 175420386 263130579 350840772 526261158 1052522316