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4084412128 = 252341135353
BaseRepresentation
bin1111001101110011…
…0010111011100000
3101112122112122010021
43303130302323200
531331102142003
61513143043224
7203133634036
oct36334627340
911478478107
104084412128
1118065a9315
1295ba40514
13501268114
142aa648556
1518d89b2bd
hexf3732ee0

4084412128 has 48 divisors (see below), whose sum is σ = 8595520416. Its totient is φ = 1905756160.

The previous prime is 4084412093. The next prime is 4084412131. The reversal of 4084412128 is 8212144804.

It is a junction number, because it is equal to n+sod(n) for n = 4084412093 and 4084412102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37501 + ... + 97852.

It is an arithmetic number, because the mean of its divisors is an integer number (179073342).

Almost surely, 24084412128 is an apocalyptic number.

It is an amenable number.

4084412128 is an abundant number, since it is smaller than the sum of its proper divisors (4511108288).

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

4084412128 is a wasteful number, since it uses less digits than its factorization.

4084412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135427 (or 135419 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 4084412128 is about 63909.4056301574. The cubic root of 4084412128 is about 1598.4897373903.

The spelling of 4084412128 in words is "four billion, eighty-four million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 164 184 328 368 656 736 943 1312 1886 3772 7544 15088 30176 135353 270706 541412 1082824 2165648 3113119 4331296 5549473 6226238 11098946 12452476 22197892 24904952 44395784 49809904 88791568 99619808 127637879 177583136 255275758 510551516 1021103032 2042206064 4084412128