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5285090592 = 25354714461
BaseRepresentation
bin1001110110000010…
…00001010100100000
3111122022211102100000
410323001001110200
541310440344332
62232233500000
7244653346245
oct47301012440
914568742300
105285090592
112272328871
121035b71600
13662c39352
14381cb35cc
1520debcb7c
hex13b041520

5285090592 has 144 divisors (see below), whose sum is σ = 15918844032. Its totient is φ = 1724094720.

The previous prime is 5285090567. The next prime is 5285090617. The reversal of 5285090592 is 2950905825.

5285090592 is a `hidden beast` number, since 5 + 2 + 8 + 50 + 9 + 0 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (5285090567) and next prime (5285090617).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 358242 + ... + 372702.

It is an arithmetic number, because the mean of its divisors is an integer number (110547528).

Almost surely, 25285090592 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 5285090592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959422016).

5285090592 is an abundant number, since it is smaller than the sum of its proper divisors (10633753440).

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

5285090592 is a wasteful number, since it uses less digits than its factorization.

5285090592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5285090592 is about 72698.6285427724. The cubic root of 5285090592 is about 1741.8769757266.

The spelling of 5285090592 in words is "five billion, two hundred eighty-five million, ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 243 282 288 324 376 423 432 486 564 648 752 846 864 972 1128 1269 1296 1504 1692 1944 2256 2538 2592 3384 3807 3888 4512 5076 6768 7614 7776 10152 11421 13536 14461 15228 20304 22842 28922 30456 40608 43383 45684 57844 60912 86766 91368 115688 121824 130149 173532 182736 231376 260298 347064 365472 390447 462752 520596 679667 694128 780894 1041192 1171341 1359334 1388256 1561788 2039001 2082384 2342682 2718668 3123576 3514023 4078002 4164768 4685364 5437336 6117003 6247152 7028046 8156004 9370728 10874672 12234006 12494304 14056092 16312008 18351009 18741456 21749344 24468012 28112184 32624016 36702018 37482912 48936024 55053027 56224368 65248032 73404036 97872048 110106054 112448736 146808072 165159081 195744096 220212108 293616144 330318162 440424216 587232288 660636324 880848432 1321272648 1761696864 2642545296 5285090592