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5633712 = 2437723
BaseRepresentation
bin10101011111011010110000
3101121020000000
4111133122300
52420234322
6320430000
765612550
oct25373260
911536000
105633712
1131a8767
121a78300
131223376
14a69160
157643ac
hex55f6b0

5633712 has 160 divisors (see below), whose sum is σ = 19522560. Its totient is φ = 1539648.

The previous prime is 5633711. The next prime is 5633717. The reversal of 5633712 is 2173365.

It is a happy number.

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

Its product of digits (3780) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (5633711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244933 + ... + 244955.

It is an arithmetic number, because the mean of its divisors is an integer number (122016).

Almost surely, 25633712 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 5633712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761280).

5633712 is an abundant number, since it is smaller than the sum of its proper divisors (13888848).

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

5633712 is an equidigital number, since it uses as much as digits as its factorization.

5633712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5633712 is about 2373.5441853903. The cubic root of 5633712 is about 177.9364331366.

The spelling of 5633712 in words is "five million, six hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 81 84 92 108 112 126 138 144 161 162 168 184 189 207 216 243 252 276 322 324 336 368 378 414 432 483 486 504 552 567 621 644 648 729 756 828 966 972 1008 1104 1134 1242 1288 1296 1449 1458 1512 1656 1701 1863 1932 1944 2187 2268 2484 2576 2898 2916 3024 3312 3402 3726 3864 3888 4347 4374 4536 4968 5103 5589 5796 5832 6804 7452 7728 8694 8748 9072 9936 10206 11178 11592 11664 13041 13608 14904 15309 16767 17388 17496 20412 22356 23184 26082 27216 29808 30618 33534 34776 34992 39123 40824 44712 50301 52164 61236 67068 69552 78246 81648 89424 100602 104328 117369 122472 134136 156492 201204 208656 234738 244944 268272 312984 352107 402408 469476 625968 704214 804816 938952 1408428 1877904 2816856 5633712