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5526072384 = 263713992939
BaseRepresentation
bin1010010010110000…
…10010110001000000
3112021010021120012120
411021120102301000
542304133304014
62312202524240
7253640561130
oct51130226100
915233246176
105526072384
112386361a78
1210a2806680
136a0b42021
143a5cc2ac0
1522521eba9
hex149612c40

5526072384 has 112 divisors (see below), whose sum is σ = 16727424000. Its totient is φ = 1577212416.

The previous prime is 5526072367. The next prime is 5526072403. The reversal of 5526072384 is 4832706255.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 1878787 + ... + 1881725.

It is an arithmetic number, because the mean of its divisors is an integer number (149352000).

Almost surely, 25526072384 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 5526072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363712000).

5526072384 is an abundant number, since it is smaller than the sum of its proper divisors (11201351616).

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

5526072384 is a wasteful number, since it uses less digits than its factorization.

5526072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 5526072384 is about 74337.5570220060. The cubic root of 5526072384 is about 1767.9590020727.

The spelling of 5526072384 in words is "five billion, five hundred twenty-six million, seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1399 2798 2939 4197 5596 5878 8394 8817 9793 11192 11756 16788 17634 19586 20573 22384 23512 29379 33576 35268 39172 41146 44768 47024 58758 61719 67152 70536 78344 82292 89536 94048 117516 123438 134304 141072 156688 164584 188096 235032 246876 268608 282144 313376 329168 470064 493752 564288 626752 658336 940128 987504 1316672 1880256 1975008 3950016 4111661 8223322 12334983 16446644 24669966 28781627 32893288 49339932 57563254 65786576 86344881 98679864 115126508 131573152 172689762 197359728 230253016 263146304 345379524 394719456 460506032 690759048 789438912 921012064 1381518096 1842024128 2763036192 5526072384