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893664252 = 223413331641
BaseRepresentation
bin110101010001000…
…011101111111100
32022021120211220000
4311101003233330
53312234224002
6224402154300
731101010065
oct6521035774
92267524800
10893664252
114194a51a8
1220b352990
131131b8920
148698b56c
15536c961c
hex35443bfc

893664252 has 120 divisors (see below), whose sum is σ = 2527461552. Its totient is φ = 273715200.

The previous prime is 893664199. The next prime is 893664257. The reversal of 893664252 is 252466398.

It is a junction number, because it is equal to n+sod(n) for n = 893664198 and 893664207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (893664257) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1393852 + ... + 1394492.

Almost surely, 2893664252 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 893664252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263730776).

893664252 is an abundant number, since it is smaller than the sum of its proper divisors (1633797300).

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

893664252 is a wasteful number, since it uses less digits than its factorization.

893664252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 893664252 is about 29894.2177017563. The cubic root of 893664252 is about 963.2184556950.

The spelling of 893664252 in words is "eight hundred ninety-three million, six hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 331 351 468 641 662 702 993 1053 1282 1324 1404 1923 1986 2106 2564 2979 3846 3972 4212 4303 5769 5958 7692 8333 8606 8937 11538 11916 12909 16666 17212 17307 17874 23076 24999 25818 26811 33332 34614 35748 38727 49998 51636 51921 53622 69228 74997 77454 99996 103842 107244 116181 149994 154908 207684 212171 224991 232362 299988 348543 424342 449982 464724 636513 674973 697086 848684 899964 1273026 1349946 1394172 1909539 2546052 2699892 2758223 3819078 5516446 5728617 7638156 8274669 11032892 11457234 16549338 17185851 22914468 24824007 33098676 34371702 49648014 68743404 74472021 99296028 148944042 223416063 297888084 446832126 893664252