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5628559392 = 2532193133181
BaseRepresentation
bin1010011110111110…
…10000000000100000
3112112021010102221200
411033133100000200
543011402400032
62330303321200
7256323652101
oct51737200040
915467112850
105628559392
1124291a1a85
121110bb0200
136b9146821
143b57603a8
1522e21647c
hex14f7d0020

5628559392 has 144 divisors (see below), whose sum is σ = 17392677120. Its totient is φ = 1720051200.

The previous prime is 5628559381. The next prime is 5628559403. The reversal of 5628559392 is 2939558265.

5628559392 is a `hidden beast` number, since 5 + 628 + 5 + 5 + 9 + 3 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5628559381) and next prime (5628559403).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153042 + ... + 186222.

It is an arithmetic number, because the mean of its divisors is an integer number (120782480).

Almost surely, 25628559392 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 5628559392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8696338560).

5628559392 is an abundant number, since it is smaller than the sum of its proper divisors (11764117728).

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

5628559392 is a wasteful number, since it uses less digits than its factorization.

5628559392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33247 (or 33236 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 5628559392 is about 75023.7255273290. The cubic root of 5628559392 is about 1778.8216954479.

The spelling of 5628559392 in words is "five billion, six hundred twenty-eight million, five hundred fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 32 36 38 48 57 62 72 76 93 96 114 124 144 152 171 186 228 248 279 288 304 342 372 456 496 558 589 608 684 744 912 992 1116 1178 1368 1488 1767 1824 2232 2356 2736 2976 3534 4464 4712 5301 5472 7068 8928 9424 10602 14136 18848 21204 28272 33181 42408 56544 66362 84816 99543 132724 169632 199086 265448 298629 398172 530896 597258 630439 796344 1028611 1061792 1194516 1260878 1592688 1891317 2057222 2389032 2521756 3085833 3185376 3782634 4114444 4778064 5043512 5673951 6171666 7565268 8228888 9257499 9556128 10087024 11347902 12343332 15130536 16457776 18514998 19543609 20174048 22695804 24686664 30261072 32915552 37029996 39087218 45391608 49373328 58630827 60522144 74059992 78174436 90783216 98746656 117261654 148119984 156348872 175892481 181566432 234523308 296239968 312697744 351784962 469046616 625395488 703569924 938093232 1407139848 1876186464 2814279696 5628559392