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5290490544 = 24323131157233
BaseRepresentation
bin1001110110101011…
…00111101010110000
3111122200222202200020
410323111213222300
541313331144134
62232545323440
7245050266453
oct47325475260
914580882606
105290490544
112275386939
121037936580
136640aa1a1
143828bb49a
1520e6d7b49
hex13b567ab0

5290490544 has 160 divisors (see below), whose sum is σ = 14523784704. Its totient is φ = 1656145920.

The previous prime is 5290490479. The next prime is 5290490551. The reversal of 5290490544 is 4450940925.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5290490496 and 5290490505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22705852 + ... + 22706084.

Almost surely, 25290490544 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 5290490544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261892352).

5290490544 is an abundant number, since it is smaller than the sum of its proper divisors (9233294160).

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

5290490544 is a wasteful number, since it uses less digits than its factorization.

5290490544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 5290490544 is about 72735.7583585955. The cubic root of 5290490544 is about 1742.4700182501.

The spelling of 5290490544 in words is "five billion, two hundred ninety million, four hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 131 138 157 184 233 262 276 314 368 393 466 471 524 552 628 699 786 932 942 1048 1104 1256 1398 1572 1864 1884 2096 2512 2796 3013 3144 3611 3728 3768 5359 5592 6026 6288 7222 7536 9039 10718 10833 11184 12052 14444 16077 18078 20567 21436 21666 24104 28888 30523 32154 36156 36581 41134 42872 43332 48208 57776 61046 61701 64308 72312 73162 82268 85744 86664 91569 109743 122092 123402 128616 144624 146324 164536 173328 183138 219486 244184 246804 257232 292648 329072 366276 438972 473041 488368 493608 585296 702029 732552 841363 877944 946082 987216 1404058 1419123 1465104 1682726 1755888 1892164 2106087 2524089 2808116 2838246 3365452 3784328 4212174 4792111 5048178 5616232 5676492 6730904 7568656 8424348 9584222 10096356 11232464 11352984 13461808 14376333 16848696 19168444 20192712 22705968 28752666 33697392 38336888 40385424 57505332 76673776 110218553 115010664 220437106 230021328 330655659 440874212 661311318 881748424 1322622636 1763496848 2645245272 5290490544