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4120440832 = 212892127
BaseRepresentation
bin1111010110011000…
…1111000000000000
3101122011100002012201
43311212033000000
531414313101312
61520511202544
7204052112014
oct36546170000
911564302181
104120440832
111824977202
1296bb16454
13508871191
142b1346544
15191b16557
hexf598f000

4120440832 has 78 divisors (see below), whose sum is σ = 8399116928. Its totient is φ = 2021031936.

The previous prime is 4120440817. The next prime is 4120440881. The reversal of 4120440832 is 2380440214.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4120440832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32444353 + ... + 32444479.

Almost surely, 24120440832 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 4120440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199558464).

4120440832 is an abundant number, since it is smaller than the sum of its proper divisors (4278676096).

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

4120440832 is an frugal number, since it uses more digits than its factorization.

4120440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4120440832 is about 64190.6600059541. The cubic root of 4120440832 is about 1603.1760911066.

The spelling of 4120440832 in words is "four billion, one hundred twenty million, four hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 89 127 128 178 254 256 356 508 512 712 1016 1024 1424 2032 2048 2848 4064 4096 5696 7921 8128 11303 11392 15842 16256 22606 22784 31684 32512 45212 45568 63368 65024 90424 91136 126736 130048 180848 182272 253472 260096 361696 364544 506944 520192 723392 1005967 1013888 1446784 2011934 2027776 2893568 4023868 4055552 5787136 8047736 8111104 11574272 16095472 16222208 23148544 32190944 32444416 46297088 64381888 128763776 257527552 515055104 1030110208 2060220416 4120440832