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5382321504 = 253723793019
BaseRepresentation
bin1010000001100111…
…11011010101100000
3111220002210021001220
411000303323111200
542010333242004
62250025455040
7250243656300
oct50063732540
914802707056
105382321504
1123121a889a
121062641480
1367a120631
14390b83600
152177c6dd9
hex140cfb560

5382321504 has 144 divisors (see below), whose sum is σ = 16484126400. Its totient is φ = 1533240576.

The previous prime is 5382321473. The next prime is 5382321557. The reversal of 5382321504 is 4051232835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1781307 + ... + 1784325.

It is an arithmetic number, because the mean of its divisors is an integer number (114473100).

Almost surely, 25382321504 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 5382321504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242063200).

5382321504 is an abundant number, since it is smaller than the sum of its proper divisors (11101804896).

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

5382321504 is a wasteful number, since it uses less digits than its factorization.

5382321504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5382321504 is about 73364.3067438111. The cubic root of 5382321504 is about 1752.4940226074.

The spelling of 5382321504 in words is "five billion, three hundred eighty-two million, three hundred twenty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 379 392 588 672 758 784 1137 1176 1516 1568 2274 2352 2653 3019 3032 4548 4704 5306 6038 6064 7959 9057 9096 10612 12076 12128 15918 18114 18192 18571 21133 21224 24152 31836 36228 36384 37142 42266 42448 48304 55713 63399 63672 72456 74284 84532 84896 96608 111426 126798 127344 144912 147931 148568 169064 222852 253596 254688 289824 295862 297136 338128 443793 445704 507192 591724 594272 676256 887586 891408 1014384 1144201 1183448 1775172 1782816 2028768 2288402 2366896 3432603 3550344 4576804 4733792 6865206 7100688 8009407 9153608 13730412 14201376 16018814 18307216 24028221 27460824 32037628 36614432 48056442 54921648 56065849 64075256 96112884 109843296 112131698 128150512 168197547 192225768 224263396 256301024 336395094 384451536 448526792 672790188 768903072 897053584 1345580376 1794107168 2691160752 5382321504