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4148303742 = 232113173149
BaseRepresentation
bin1111011101000010…
…0001011101111110
3101201002202122221100
43313100201131332
531443431204432
61523344313530
7204541000002
oct36720413576
911632678840
104148303742
111839678000
129793128a6
135115784cb
142b4d1a702
151942bc07c
hexf742177e

4148303742 has 48 divisors (see below), whose sum is σ = 9886172400. Its totient is φ = 1257054480.

The previous prime is 4148303741. The next prime is 4148303749. The reversal of 4148303742 is 2473038414.

It is a junction number, because it is equal to n+sod(n) for n = 4148303697 and 4148303706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148303741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62617 + ... + 110532.

It is an arithmetic number, because the mean of its divisors is an integer number (205961925).

Almost surely, 24148303742 is an apocalyptic number.

4148303742 is an abundant number, since it is smaller than the sum of its proper divisors (5737868658).

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

4148303742 is a wasteful number, since it uses less digits than its factorization.

4148303742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173190 (or 173165 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4148303742 is about 64407.3267726584. The cubic root of 4148303742 is about 1606.7815986625.

The spelling of 4148303742 in words is "four billion, one hundred forty-eight million, three hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3993 7986 11979 23958 173149 346298 519447 1038894 1558341 1904639 3116682 3809278 5713917 11427834 17141751 20951029 34283502 41902058 62853087 125706174 188559261 230461319 377118522 460922638 691383957 1382767914 2074151871 4148303742