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5509242728 = 23115371127131
BaseRepresentation
bin1010010000110000…
…00101111101101000
3112012221121112020222
411020120011331220
542240331231403
62310402105212
7253344535103
oct51030057550
915187545228
105509242728
112377907670
12109904b208
1369a4cb952
143a398173a
152239e8338
hex148605f68

5509242728 has 128 divisors (see below), whose sum is σ = 11824496640. Its totient is φ = 2384928000.

The previous prime is 5509242677. The next prime is 5509242731. The reversal of 5509242728 is 8272429055.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 42055223 + ... + 42055353.

It is an arithmetic number, because the mean of its divisors is an integer number (92378880).

Almost surely, 25509242728 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 5509242728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912248320).

5509242728 is an abundant number, since it is smaller than the sum of its proper divisors (6315253912).

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

5509242728 is a wasteful number, since it uses less digits than its factorization.

5509242728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 5509242728 is about 74224.2731725950. The cubic root of 5509242728 is about 1766.1624036701.

The spelling of 5509242728 in words is "five billion, five hundred nine million, two hundred forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 53 71 88 106 127 131 142 212 254 262 284 424 508 524 568 583 781 1016 1048 1166 1397 1441 1562 2332 2794 2882 3124 3763 4664 5588 5764 6248 6731 6943 7526 9017 9301 11176 11528 13462 13886 15052 16637 18034 18602 26924 27772 30104 33274 36068 37204 41393 53848 55544 66548 72136 74041 74408 76373 82786 99187 102311 133096 148082 152746 165572 183007 198374 204622 296164 305492 331144 366014 396748 409244 477901 492953 592328 610984 732028 793496 818488 881761 955802 985906 1181227 1464056 1763522 1911604 1971812 2362454 3527044 3823208 3943624 4724908 5256911 5422483 7054088 9449816 9699371 10513822 10844966 12993497 19398742 21027644 21689932 25986994 38797484 42055288 43379864 51973988 62605031 77594968 103947976 125210062 250420124 500840248 688655341 1377310682 2754621364 5509242728