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4207509042 = 231127517717
BaseRepresentation
bin1111101011001001…
…0111111000110010
3101212020011121100020
43322302113320302
532104110242132
61533301304310
7206160144132
oct37262277062
911766147306
104207509042
11186a035900
12995105096
13520907829
142bcb2cac2
151995b452c
hexfac97e32

4207509042 has 48 divisors (see below), whose sum is σ = 9263081856. Its totient is φ = 1273140000.

The previous prime is 4207508969. The next prime is 4207509091. The reversal of 4207509042 is 2409057024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4207508994 and 4207509012.

It is an unprimeable number.

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, 541368 + ... + 549084.

It is an arithmetic number, because the mean of its divisors is an integer number (192980872).

Almost surely, 24207509042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4207509042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631540928).

4207509042 is an abundant number, since it is smaller than the sum of its proper divisors (5055572814).

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

4207509042 is a wasteful number, since it uses less digits than its factorization.

4207509042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8495 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4207509042 is about 64865.3146296231. The cubic root of 4207509042 is about 1614.3896055837.

The spelling of 4207509042 in words is "four billion, two hundred seven million, five hundred nine thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 751 1502 2253 4506 7717 8261 15434 16522 23151 24783 46302 49566 84887 90871 169774 181742 254661 272613 509322 545226 933757 1867514 2801271 5602542 5795467 11590934 17386401 34772802 63750137 127500274 191250411 382500822 701251507 1402503014 2103754521 4207509042