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4251303252 = 2233725721881
BaseRepresentation
bin1111110101100101…
…1011110101010100
3101222021120120201000
43331121123311110
532201313201002
61541504103300
7210231324060
oct37531336524
911867516630
104251303252
111891828069
129a7904b30
135299cc371
142c488caa0
1519d36561c
hexfd65bd54

4251303252 has 96 divisors (see below), whose sum is σ = 12646045440. Its totient is φ = 1209876480.

The previous prime is 4251303239. The next prime is 4251303299. The reversal of 4251303252 is 2523031524.

It is a happy number.

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

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, 183352 + ... + 205232.

It is an arithmetic number, because the mean of its divisors is an integer number (131729640).

Almost surely, 24251303252 is an apocalyptic number.

4251303252 is a gapful number since it is divisible by the number (42) 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 4251303252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323022720).

4251303252 is an abundant number, since it is smaller than the sum of its proper divisors (8394742188).

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

4251303252 is a wasteful number, since it uses less digits than its factorization.

4251303252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22158 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4251303252 is about 65202.0187724276. The cubic root of 4251303252 is about 1619.9714535436.

Adding to 4251303252 its reverse (2523031524), we get a palindrome (6774334776).

The spelling of 4251303252 in words is "four billion, two hundred fifty-one million, three hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 257 378 514 756 771 1028 1542 1799 2313 3084 3598 4626 5397 6939 7196 9252 10794 13878 16191 21588 21881 27756 32382 43762 48573 64764 65643 87524 97146 131286 153167 194292 196929 262572 306334 393858 459501 590787 612668 787716 919002 1181574 1378503 1838004 2363148 2757006 4135509 5514012 5623417 8271018 11246834 16542036 16870251 22493668 33740502 39363919 50610753 67481004 78727838 101221506 118091757 151832259 157455676 202443012 236183514 303664518 354275271 472367028 607329036 708550542 1062825813 1417101084 2125651626 4251303252