[go: up one dir, main page]

Search a number
-
+
1052324252 = 2273789101113
BaseRepresentation
bin111110101110010…
…011000110011100
32201100010121111022
4332232103012130
54123343334002
6252230543312
735035415510
oct7656230634
92640117438
101052324252
114a0011871
12254507b38
1313a02a495
149da8c140
15625b9ba2
hex3eb9319c

1052324252 has 96 divisors (see below), whose sum is σ = 2226994560. Its totient is φ = 425779200.

The previous prime is 1052324213. The next prime is 1052324261. The reversal of 1052324252 is 2524232501.

It is a super-2 number, since 2×10523242522 = 2214772662694719008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9312548 + ... + 9312660.

It is an arithmetic number, because the mean of its divisors is an integer number (23197860).

Almost surely, 21052324252 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 1052324252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113497280).

1052324252 is an abundant number, since it is smaller than the sum of its proper divisors (1174670308).

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

1052324252 is a wasteful number, since it uses less digits than its factorization.

1052324252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 1052324252 is about 32439.5476540595. The cubic root of 1052324252 is about 1017.1457600907.

Adding to 1052324252 its reverse (2524232501), we get a palindrome (3576556753).

The spelling of 1052324252 in words is "one billion, fifty-two million, three hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 74 89 101 113 148 178 202 226 259 356 404 452 518 623 707 791 1036 1246 1414 1582 2492 2828 3164 3293 3737 4181 6586 7474 8362 8989 10057 11413 13172 14948 16724 17978 20114 22826 23051 26159 29267 35956 40228 45652 46102 52318 58534 62923 70399 79891 92204 104636 117068 125846 140798 159782 251692 281596 319564 332593 372109 422281 665186 744218 844562 1015757 1330372 1488436 1689124 2031514 2328151 2604763 2955967 4063028 4656302 5209526 5911934 7110299 9312604 10419052 11823868 14220598 28441196 37583009 75166018 150332036 263081063 526162126 1052324252