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5634432 = 27326773
BaseRepresentation
bin10101011111100110000000
3101121020222200
4111133212000
52420300212
6320433200
765614626
oct25374600
911536880
105634432
1131a9261
121a78800
1312237ab
14a69516
157646dc
hex55f980

5634432 has 96 divisors (see below), whose sum is σ = 16681080. Its totient is φ = 1824768.

The previous prime is 5634427. The next prime is 5634443. The reversal of 5634432 is 2344365.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

Its product of digits (8640) is a multiple of the sum of its prime factors (160).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 5634396 and 5634405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77148 + ... + 77220.

Almost surely, 25634432 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 5634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340540).

5634432 is an abundant number, since it is smaller than the sum of its proper divisors (11046648).

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

5634432 is a wasteful number, since it uses less digits than its factorization.

5634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 5634432 is about 2373.6958524630. The cubic root of 5634432 is about 177.9440130279.

Adding to 5634432 its reverse (2344365), we get a palindrome (7978797).

The spelling of 5634432 in words is "five million, six hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 73 96 128 134 144 146 192 201 219 268 288 292 384 402 438 536 576 584 603 657 804 876 1072 1152 1168 1206 1314 1608 1752 2144 2336 2412 2628 3216 3504 4288 4672 4824 4891 5256 6432 7008 8576 9344 9648 9782 10512 12864 14016 14673 19296 19564 21024 25728 28032 29346 38592 39128 42048 44019 58692 77184 78256 84096 88038 117384 156512 176076 234768 313024 352152 469536 626048 704304 939072 1408608 1878144 2817216 5634432