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2928106044 = 2233175927031
BaseRepresentation
bin1010111010000111…
…0101101000111100
321120001202012101000
42232201311220330
521444043343134
61202315250300
7132363330213
oct25641655074
97501665330
102928106044
111272926456
12698749990
13378831936
141dac5007a
151220e1e99
hexae875a3c

2928106044 has 96 divisors (see below), whose sum is σ = 8174476800. Its totient is φ = 903018240.

The previous prime is 2928106043. The next prime is 2928106067. The reversal of 2928106044 is 4406018292.

2928106044 is a `hidden beast` number, since 29 + 28 + 1 + 0 + 604 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94809 + ... + 121839.

It is an arithmetic number, because the mean of its divisors is an integer number (85150800).

Almost surely, 22928106044 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 2928106044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087238400).

2928106044 is an abundant number, since it is smaller than the sum of its proper divisors (5246370756).

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

2928106044 is a wasteful number, since it uses less digits than its factorization.

2928106044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27120 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2928106044 is about 54111.9768997585. The cubic root of 2928106044 is about 1430.6352897989.

The spelling of 2928106044 in words is "two billion, nine hundred twenty-eight million, one hundred six thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 102 108 118 153 177 204 236 306 354 459 531 612 708 918 1003 1062 1593 1836 2006 2124 3009 3186 4012 6018 6372 9027 12036 18054 27031 27081 36108 54062 54162 81093 108124 108324 162186 243279 324372 459527 486558 729837 919054 973116 1378581 1459674 1594829 1838108 2757162 2919348 3189658 4135743 4784487 5514324 6379316 8271486 9568974 12407229 14353461 16542972 19137948 24814458 27112093 28706922 43060383 49628916 54224186 57413844 81336279 86120766 108448372 162672558 172241532 244008837 325345116 488017674 732026511 976035348 1464053022 2928106044