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5603904 = 26342347
BaseRepresentation
bin10101011000001001000000
3101112201010000
4111120021000
52413311104
6320040000
765426625
oct25301100
911481100
105603904
113188329
121a63000
131212927
14a5c34c
1575a639
hex558240

5603904 has 140 divisors (see below), whose sum is σ = 17702784. Its totient is φ = 1748736.

The previous prime is 5603903. The next prime is 5603929. The reversal of 5603904 is 4093065.

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 not an unprimeable number, because it can be changed into a prime (5603903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119209 + ... + 119255.

Almost surely, 25603904 is an apocalyptic number.

5603904 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 5603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8851392).

5603904 is an abundant number, since it is smaller than the sum of its proper divisors (12098880).

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

5603904 is a wasteful number, since it uses less digits than its factorization.

5603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5603904 is about 2367.2566400794. The cubic root of 5603904 is about 177.6220571582.

Adding to 5603904 its reverse (4093065), we get a palindrome (9696969).

The spelling of 5603904 in words is "five million, six hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 64 69 72 81 92 94 96 108 138 141 144 162 184 188 192 207 216 276 282 288 324 368 376 414 423 432 552 564 576 621 648 736 752 828 846 864 1081 1104 1128 1242 1269 1296 1472 1504 1656 1692 1728 1863 2162 2208 2256 2484 2538 2592 3008 3243 3312 3384 3726 3807 4324 4416 4512 4968 5076 5184 6486 6624 6768 7452 7614 8648 9024 9729 9936 10152 12972 13248 13536 14904 15228 17296 19458 19872 20304 25944 27072 29187 29808 30456 34592 38916 39744 40608 51888 58374 59616 60912 69184 77832 81216 87561 103776 116748 119232 121824 155664 175122 207552 233496 243648 311328 350244 466992 622656 700488 933984 1400976 1867968 2801952 5603904