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5793082464 = 2531343107951
BaseRepresentation
bin1010110010100101…
…10110110001100000
3112221201201002011210
411121102312301200
543331012114324
62354501510120
7263362250151
oct53122666140
915851632153
105793082464
112503053664
121158112340
1371425bc60
143cd549928
1523d8b3d29
hex1594b6c60

5793082464 has 96 divisors (see below), whose sum is σ = 16757604864. Its totient is φ = 1741017600.

The previous prime is 5793082453. The next prime is 5793082483. The reversal of 5793082464 is 4642803975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57930824642 = 67119608869408622592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312 + ... + 107639.

It is an arithmetic number, because the mean of its divisors is an integer number (174558384).

Almost surely, 25793082464 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 5793082464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378802432).

5793082464 is an abundant number, since it is smaller than the sum of its proper divisors (10964522400).

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

5793082464 is a wasteful number, since it uses less digits than its factorization.

5793082464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108020 (or 108012 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 5793082464 is about 76112.3016601127. The cubic root of 5793082464 is about 1795.9871990463.

The spelling of 5793082464 in words is "five billion, seven hundred ninety-three million, eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6708 8944 13416 17888 26832 53664 107951 215902 323853 431804 647706 863608 1295412 1403363 1727216 2590824 2806726 3454432 4210089 4641893 5181648 5613452 8420178 9283786 10363296 11226904 13925679 16840356 18567572 22453808 27851358 33680712 37135144 44907616 55702716 60344609 67361424 74270288 111405432 120689218 134722848 148540576 181033827 222810864 241378436 362067654 445621728 482756872 724135308 965513744 1448270616 1931027488 2896541232 5793082464