Search a number
-
+
2749679028 = 2233732291523
BaseRepresentation
bin1010001111100100…
…1100010110110100
321002122000011112000
42203321030112310
521112404212103
61132503055300
7125065612635
oct24371142664
97078004460
102749679028
111191138608
12648a41530
1334a88ba15
141c128588c
151115e9aa3
hexa3e4c5b4

2749679028 has 96 divisors (see below), whose sum is σ = 7262774400. Its totient is φ = 899465472.

The previous prime is 2749678961. The next prime is 2749679033. The reversal of 2749679028 is 8209769472.

2749679028 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1804675 + ... + 1806197.

It is an arithmetic number, because the mean of its divisors is an integer number (75653900).

Almost surely, 22749679028 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 2749679028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631387200).

2749679028 is an abundant number, since it is smaller than the sum of its proper divisors (4513095372).

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

2749679028 is a wasteful number, since it uses less digits than its factorization.

2749679028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 2749679028 is about 52437.3819712617. The cubic root of 2749679028 is about 1400.9651555604.

The spelling of 2749679028 in words is "two billion, seven hundred forty-nine million, six hundred seventy-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 229 292 438 458 657 687 876 916 1314 1374 1523 1971 2061 2628 2748 3046 3942 4122 4569 6092 6183 7884 8244 9138 12366 13707 16717 18276 24732 27414 33434 41121 50151 54828 66868 82242 100302 111179 150453 164484 200604 222358 300906 333537 348767 444716 451359 601812 667074 697534 902718 1000611 1046301 1334148 1395068 1805436 2001222 2092602 3001833 3138903 4002444 4185204 6003666 6277806 9416709 12007332 12555612 18833418 25459991 37666836 50919982 76379973 101839964 152759946 229139919 305519892 458279838 687419757 916559676 1374839514 2749679028