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5705424 = 243347281
BaseRepresentation
bin10101110000111011010000
3101201212101000
4111300323100
52430033144
6322142000
766331614
oct25607320
911655330
105705424
11324762a
121ab1900
131249bba
14a87344
1577a769
hex570ed0

5705424 has 80 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 1854720.

The previous prime is 5705423. The next prime is 5705467. The reversal of 5705424 is 4245075.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (5705423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20164 + ... + 20444.

It is an arithmetic number, because the mean of its divisors is an integer number (209808).

Almost surely, 25705424 is an apocalyptic number.

5705424 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 5705424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392320).

5705424 is an abundant number, since it is smaller than the sum of its proper divisors (11079216).

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

5705424 is a wasteful number, since it uses less digits than its factorization.

5705424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5705424 is about 2388.6029389583. The cubic root of 5705424 is about 178.6882414975.

The spelling of 5705424 in words is "five million, seven hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 281 282 376 423 432 562 564 752 843 846 1124 1128 1269 1686 1692 2248 2256 2529 2538 3372 3384 4496 5058 5076 6744 6768 7587 10116 10152 13207 13488 15174 20232 20304 26414 30348 39621 40464 52828 60696 79242 105656 118863 121392 158484 211312 237726 316968 356589 475452 633936 713178 950904 1426356 1901808 2852712 5705424