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48114780 = 223571091051
BaseRepresentation
bin1011011110001…
…0110001011100
310100112111001220
42313202301130
544304133110
64435133340
71122653220
oct267426134
9110474056
1048114780
112518338a
1214144250
139c782ac
146566780
154356370
hex2de2c5c

48114780 has 96 divisors (see below), whose sum is σ = 155527680. Its totient is φ = 10886400.

The previous prime is 48114779. The next prime is 48114823. The reversal of 48114780 is 8741184.

It is a congruent number.

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, 45255 + ... + 46305.

It is an arithmetic number, because the mean of its divisors is an integer number (1620080).

Almost surely, 248114780 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 48114780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77763840).

48114780 is an abundant number, since it is smaller than the sum of its proper divisors (107412900).

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

48114780 is a wasteful number, since it uses less digits than its factorization.

48114780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 48114780 is about 6936.4818171750. The cubic root of 48114780 is about 363.7135672820.

It can be divided in two parts, 4811 and 4780, that added together give a triangular number (9591 = T138).

The spelling of 48114780 in words is "forty-eight million, one hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 327 420 436 545 654 763 1051 1090 1308 1526 1635 2102 2180 2289 3052 3153 3270 3815 4204 4578 5255 6306 6540 7357 7630 9156 10510 11445 12612 14714 15260 15765 21020 22071 22890 29428 31530 36785 44142 45780 63060 73570 88284 110355 114559 147140 220710 229118 343677 441420 458236 572795 687354 801913 1145590 1374708 1603826 1718385 2291180 2405739 3207652 3436770 4009565 4811478 6873540 8019130 9622956 12028695 16038260 24057390 48114780