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48809880 = 23325722767
BaseRepresentation
bin1011101000110…
…0011110011000
310101211210120100
42322030132120
544443404010
64502055400
71131606600
oct272143630
9111753510
1048809880
1125608649
121441a560
13a15c7b2
1466a7c00
1544422c0
hex2e8c798

48809880 has 144 divisors (see below), whose sum is σ = 184597920. Its totient is φ = 11152512.

The previous prime is 48809863. The next prime is 48809881. The reversal of 48809880 is 8890884.

48809880 is a `hidden beast` number, since 488 + 0 + 98 + 80 = 666.

48809880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×488098802 = 4764808771228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48809881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 16257 + ... + 19023.

It is an arithmetic number, because the mean of its divisors is an integer number (1281930).

Almost surely, 248809880 is an apocalyptic number.

48809880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48809880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92298960).

48809880 is an abundant number, since it is smaller than the sum of its proper divisors (135788040).

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

48809880 is a wasteful number, since it uses less digits than its factorization.

48809880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 48809880 is about 6986.4068017830. The cubic root of 48809880 is about 365.4566873782.

The spelling of 48809880 in words is "forty-eight million, eight hundred nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2767 2940 3528 4410 5534 5880 8301 8820 11068 13835 16602 17640 19369 22136 24903 27670 33204 38738 41505 49806 55340 58107 66408 77476 83010 96845 99612 110680 116214 124515 135583 154952 166020 174321 193690 199224 232428 249030 271166 290535 332040 348642 387380 406749 464856 498060 542332 581070 677915 697284 774760 813498 871605 996120 1084664 1162140 1220247 1355830 1394568 1626996 1743210 2033745 2324280 2440494 2711660 3253992 3486420 4067490 4880988 5423320 6101235 6972840 8134980 9761976 12202470 16269960 24404940 48809880