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2827290930 = 235367491523
BaseRepresentation
bin1010100010000101…
…0000100100110010
321022001001021000220
42220201100210302
521242241302210
61144314353510
7130030401462
oct25041204462
97261037026
102827290930
111220a28582
1266aa2b896
13360994119
141cb6c9ba2
1511832ac70
hexa8850932

2827290930 has 64 divisors (see below), whose sum is σ = 6830880768. Its totient is φ = 748923840.

The previous prime is 2827290899. The next prime is 2827290937. The reversal of 2827290930 is 390927282.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2827290937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5405649 + ... + 5406171.

It is an arithmetic number, because the mean of its divisors is an integer number (106732512).

Almost surely, 22827290930 is an apocalyptic number.

2827290930 is an abundant number, since it is smaller than the sum of its proper divisors (4003589838).

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

2827290930 is a wasteful number, since it uses less digits than its factorization.

2827290930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 2827290930 is about 53172.2759527933. The cubic root of 2827290930 is about 1414.0241712200.

The spelling of 2827290930 in words is "two billion, eight hundred twenty-seven million, two hundred ninety thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 367 491 523 734 982 1046 1101 1473 1569 1835 2202 2455 2615 2946 3138 3670 4910 5230 5505 7365 7845 11010 14730 15690 180197 191941 256793 360394 383882 513586 540591 575823 770379 900985 959705 1081182 1151646 1283965 1540758 1801970 1919410 2567930 2702955 2879115 3851895 5405910 5758230 7703790 94243031 188486062 282729093 471215155 565458186 942430310 1413645465 2827290930