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5733504 = 2734779
BaseRepresentation
bin10101110111110010000000
3101210021220000
4111313302000
52431433004
6322520000
766506520
oct25676200
911707800
105733504
113266737
121b06000
13125990a
14a93680
15783c39
hex577c80

5733504 has 160 divisors (see below), whose sum is σ = 19747200. Its totient is φ = 1617408.

The previous prime is 5733499. The next prime is 5733517. The reversal of 5733504 is 4053375.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 72537 + ... + 72615.

It is an arithmetic number, because the mean of its divisors is an integer number (123420).

Almost surely, 25733504 is an apocalyptic number.

5733504 is a gapful number since it is divisible by the number (54) 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 5733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873600).

5733504 is an abundant number, since it is smaller than the sum of its proper divisors (14013696).

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

5733504 is an equidigital number, since it uses as much as digits as its factorization.

5733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 5733504 is about 2394.4736373575. The cubic root of 5733504 is about 178.9809078396.

Adding to 5733504 its reverse (4053375), we get a palindrome (9786879).

The spelling of 5733504 in words is "five million, seven hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 79 81 84 96 108 112 126 128 144 158 162 168 189 192 216 224 237 252 288 316 324 336 378 384 432 448 474 504 553 567 576 632 648 672 711 756 864 896 948 1008 1106 1134 1152 1264 1296 1344 1422 1512 1659 1728 1896 2016 2133 2212 2268 2528 2592 2688 2844 3024 3318 3456 3792 4032 4266 4424 4536 4977 5056 5184 5688 6048 6399 6636 7584 8064 8532 8848 9072 9954 10112 10368 11376 12096 12798 13272 14931 15168 17064 17696 18144 19908 22752 24192 25596 26544 29862 30336 34128 35392 36288 39816 44793 45504 51192 53088 59724 68256 70784 72576 79632 89586 91008 102384 106176 119448 136512 159264 179172 204768 212352 238896 273024 318528 358344 409536 477792 637056 716688 819072 955584 1433376 1911168 2866752 5733504