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5523267440 = 245414339161
BaseRepresentation
bin1010010010011011…
…00101111101110000
3112020221000001112202
411021031211331300
542302424024230
62312022442332
7253604666345
oct51115457560
915227001482
105523267440
112384816639
1210a18933a8
136a039c3b2
143a57927cc
15224d68a45
hex149365f70

5523267440 has 80 divisors (see below), whose sum is σ = 13461075936. Its totient is φ = 2105241600.

The previous prime is 5523267439. The next prime is 5523267461. The reversal of 5523267440 is 447623255.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5523267394 and 5523267403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121460 + ... + 160620.

Almost surely, 25523267440 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 5523267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730537968).

5523267440 is an abundant number, since it is smaller than the sum of its proper divisors (7937808496).

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

5523267440 is a wasteful number, since it uses less digits than its factorization.

5523267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39258 (or 39252 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The square root of 5523267440 is about 74318.6883630221. The cubic root of 5523267440 is about 1767.6598224187.

The spelling of 5523267440 in words is "five billion, five hundred twenty-three million, two hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 43 80 82 86 164 172 205 215 328 344 410 430 656 688 820 860 1640 1720 1763 3280 3440 3526 7052 8815 14104 17630 28208 35260 39161 70520 78322 141040 156644 195805 313288 391610 626576 783220 1566440 1605601 1683923 3132880 3211202 3367846 6422404 6735692 8028005 8419615 12844808 13471384 16056010 16839230 25689616 26942768 32112020 33678460 64224040 67356920 69040843 128448080 134713840 138081686 276163372 345204215 552326744 690408430 1104653488 1380816860 2761633720 5523267440