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4880442528 = 2532131303537
BaseRepresentation
bin1001000101110010…
…11010010010100000
3110121010102011112200
410202321122102200
534443343130103
62124140453200
7231641035263
oct44271322240
913533364480
104880442528
112084978785
12b4254a200
135ca15b220
1434425ccda
151d86dc0a3
hex122e5a4a0

4880442528 has 72 divisors (see below), whose sum is σ = 14946366708. Its totient is φ = 1501673472.

The previous prime is 4880442493. The next prime is 4880442533. The reversal of 4880442528 is 8252440884.

4880442528 is a `hidden beast` number, since 4 + 8 + 80 + 4 + 42 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4879301904 + 1140624 = 69852^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×48804425282 = 47637438538222061568, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 648025 + ... + 655512.

Almost surely, 24880442528 is an apocalyptic number.

4880442528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4880442528 is an abundant number, since it is smaller than the sum of its proper divisors (10065924180).

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

4880442528 is a wasteful number, since it uses less digits than its factorization.

4880442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303566 (or 1303555 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The square root of 4880442528 is about 69860.1640994351. The cubic root of 4880442528 is about 1696.2364872853.

The spelling of 4880442528 in words is "four billion, eight hundred eighty million, four hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1303537 2607074 3910611 5214148 7821222 10428296 11731833 15642444 16945981 20856592 23463666 31284888 33891962 41713184 46927332 50837943 62569776 67783924 93854664 101675886 125139552 135567848 152513829 187709328 203351772 271135696 305027658 375418656 406703544 542271392 610055316 813407088 1220110632 1626814176 2440221264 4880442528