Search a number
-
+
5526560560 = 245411799413
BaseRepresentation
bin1010010010110100…
…01001111100110000
3112021011012100212011
411021122021330300
542304244414220
62312221212304
7253644663313
oct51132117460
915234170764
105526560560
112386665824
1210a2a01094
136a0c832a1
143a5dac97a
152252b965a
hex149689f30

5526560560 has 80 divisors (see below), whose sum is σ = 13237590240. Its totient is φ = 2144430080.

The previous prime is 5526560513. The next prime is 5526560563. The reversal of 5526560560 is 650656255.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5526560563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582414 + ... + 591826.

It is an arithmetic number, because the mean of its divisors is an integer number (165469878).

Almost surely, 25526560560 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 5526560560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618795120).

5526560560 is an abundant number, since it is smaller than the sum of its proper divisors (7711029680).

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

5526560560 is a wasteful number, since it uses less digits than its factorization.

5526560560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9646 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The square root of 5526560560 is about 74340.8404579878. The cubic root of 5526560560 is about 1768.0110613341.

The spelling of 5526560560 in words is "five billion, five hundred twenty-six million, five hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 179 205 328 358 410 656 716 820 895 1432 1640 1790 2864 3280 3580 7160 7339 9413 14320 14678 18826 29356 36695 37652 47065 58712 73390 75304 94130 117424 146780 150608 188260 293560 376520 385933 587120 753040 771866 1543732 1684927 1929665 3087464 3369854 3859330 6174928 6739708 7718660 8424635 13479416 15437320 16849270 26958832 30874640 33698540 67397080 69082007 134794160 138164014 276328028 345410035 552656056 690820070 1105312112 1381640140 2763280280 5526560560