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5704253440 = 226517
BaseRepresentation
bin1010101000000000…
…00000000000000000
3112201112120002122221
411110000000000000
543140242102230
62342005540424
7261233232334
oct52400000000
915645502587
105704253440
1124679a2046
121132414714
136cba29cc2
143c18257c4
15235bb927a
hex154000000

5704253440 has 108 divisors (see below), whose sum is σ = 14495514516. Its totient is φ = 2147483648.

The previous prime is 5704253431. The next prime is 5704253449. The reversal of 5704253440 is 443524075.

It is an interprime number because it is at equal distance from previous prime (5704253431) and next prime (5704253449).

It can be written as a sum of positive squares in 2 ways, for example, as 3288334336 + 2415919104 = 57344^2 + 49152^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 5704253396 and 5704253405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5704253449) by changing a digit.

In principle, a polygon with 5704253440 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335544312 + ... + 335544328.

It is an arithmetic number, because the mean of its divisors is an integer number (134217727).

Almost surely, 25704253440 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 5704253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247757258).

5704253440 is an abundant number, since it is smaller than the sum of its proper divisors (8791261076).

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

5704253440 is an frugal number, since it uses more digits than its factorization.

5704253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 5704253440 is about 75526.5081941433. The cubic root of 5704253440 is about 1786.7602040087.

The spelling of 5704253440 in words is "five billion, seven hundred four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 16384 17408 20480 21760 32768 34816 40960 43520 65536 69632 81920 87040 131072 139264 163840 174080 262144 278528 327680 348160 524288 557056 655360 696320 1048576 1114112 1310720 1392640 2097152 2228224 2621440 2785280 4194304 4456448 5242880 5570560 8388608 8912896 10485760 11141120 16777216 17825792 20971520 22282240 33554432 35651584 41943040 44564480 67108864 71303168 83886080 89128960 142606336 167772160 178257920 285212672 335544320 356515840 570425344 713031680 1140850688 1426063360 2852126720 5704253440