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400443252 = 2231129731433
BaseRepresentation
bin10111110111100…
…100011101110100
31000220111121212120
4113313210131310
51310003141002
6103422515540
712631466016
oct2767443564
91026447776
10400443252
11196048a40
12b2135bb0
1364c68291
143b27c1b6
152524ecbc
hex17de4774

400443252 has 96 divisors (see below), whose sum is σ = 1069649280. Its totient is φ = 115476480.

The previous prime is 400443247. The next prime is 400443287. The reversal of 400443252 is 252344004.

It is a congruent number.

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, 278728 + ... + 280160.

It is an arithmetic number, because the mean of its divisors is an integer number (11142180).

Almost surely, 2400443252 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 400443252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534824640).

400443252 is an abundant number, since it is smaller than the sum of its proper divisors (669206028).

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

400443252 is a wasteful number, since it uses less digits than its factorization.

400443252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 400443252 is about 20011.0782318195. The cubic root of 400443252 is about 737.0783583157.

Adding to 400443252 its reverse (252344004), we get a palindrome (652787256).

The spelling of 400443252 in words is "four hundred million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 73 87 116 132 146 174 219 292 319 348 438 638 803 876 957 1276 1433 1606 1914 2117 2409 2866 3212 3828 4234 4299 4818 5732 6351 8468 8598 9636 12702 15763 17196 23287 25404 31526 41557 46574 47289 63052 69861 83114 93148 94578 104609 124671 139722 166228 189156 209218 249342 279444 313827 418436 457127 498684 627654 914254 1150699 1255308 1371381 1828508 2301398 2742762 3033661 3452097 4602796 5485524 6067322 6904194 9100983 12134644 13808388 18201966 33370271 36403932 66740542 100110813 133481084 200221626 400443252