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4148235 = 3257131013
BaseRepresentation
bin1111110100110000001011
321210202022100
433310300023
52030220420
6224524443
750154660
oct17646013
97722270
104148235
1123836a3
121480723
13b231a0
1479da67
1556e190
hex3f4c0b

4148235 has 48 divisors (see below), whose sum is σ = 8858304. Its totient is φ = 1748736.

The previous prime is 4148233. The next prime is 4148239. The reversal of 4148235 is 5328414.

It is not a de Polignac number, because 4148235 - 21 = 4148233 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4148199 and 4148208.

It is not an unprimeable number, because it can be changed into a prime (4148233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3589 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (184548).

Almost surely, 24148235 is an apocalyptic number.

4148235 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4148235 is an abundant number, since it is smaller than the sum of its proper divisors (4710069).

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

4148235 is a wasteful number, since it uses less digits than its factorization.

4148235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1041 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4148235 is about 2036.7216304640. The cubic root of 4148235 is about 160.6772723228.

It can be divided in two parts, 414 and 8235, that added together give a square (8649 = 932).

The spelling of 4148235 in words is "four million, one hundred forty-eight thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1013 1365 3039 4095 5065 7091 9117 13169 15195 21273 35455 39507 45585 63819 65845 92183 106365 118521 197535 276549 319095 460915 592605 829647 1382745 4148235