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5755307520 = 29352925841
BaseRepresentation
bin1010101110000101…
…10000011000000000
3112212002121220200210
411113002300120000
543241324320040
62351032114120
7262423210134
oct52702603000
915762556623
105755307520
1124937a27a6
121147535940
13709494111
143c85153c4
1523a401480
hex1570b0600

5755307520 has 160 divisors (see below), whose sum is σ = 19034183520. Its totient is φ = 1481768960.

The previous prime is 5755307489. The next prime is 5755307521. The reversal of 5755307520 is 257035575.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5755307521) 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, 209800 + ... + 235640.

It is an arithmetic number, because the mean of its divisors is an integer number (118963647).

Almost surely, 25755307520 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 5755307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517091760).

5755307520 is an abundant number, since it is smaller than the sum of its proper divisors (13278876000).

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

5755307520 is a wasteful number, since it uses less digits than its factorization.

5755307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896 (or 25880 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 39.

The square root of 5755307520 is about 75863.7431188311. The cubic root of 5755307520 is about 1792.0749862329.

The spelling of 5755307520 in words is "five billion, seven hundred fifty-five million, three hundred seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1160 1280 1392 1536 1740 1856 1920 2320 2560 2784 3480 3712 3840 4640 5568 6960 7424 7680 9280 11136 13920 14848 18560 22272 25841 27840 37120 44544 51682 55680 74240 77523 103364 111360 129205 155046 206728 222720 258410 310092 387615 413456 516820 620184 749389 775230 826912 1033640 1240368 1498778 1550460 1653824 2067280 2248167 2480736 2997556 3100920 3307648 3746945 4134560 4496334 4961472 5995112 6201840 6615296 7493890 8269120 8992668 9922944 11240835 11990224 12403680 13230592 14987780 16538240 17985336 19845888 22481670 23980448 24807360 29975560 33076480 35970672 39691776 44963340 47960896 49614720 59951120 66152960 71941344 89926680 95921792 99229440 119902240 143882688 179853360 191843584 198458880 239804480 287765376 359706720 383687168 479608960 575530752 719413440 959217920 1151061504 1438826880 1918435840 2877653760 5755307520