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2933738896 = 2411212312
BaseRepresentation
bin1010111011011101…
…0100110110010000
321120110100101012011
42232313110312100
522002014121041
61203040112304
7132462240424
oct25667246620
97513311164
102933738896
111276023500
1269a605694
13379a5479a
141db8b8b84
15122855e81
hexaedd4d90

2933738896 has 45 divisors (see below), whose sum is σ = 6252912939. Its totient is φ = 1332434400.

The previous prime is 2933738893. The next prime is 2933738939. The reversal of 2933738896 is 6988373392.

2933738896 = T6903 + T6904 + ... + T7023.

The square root of 2933738896 is 54164.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2933738896.

It is not an unprimeable number, because it can be changed into a prime (2933738893) 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 8 ways as a sum of consecutive naturals, for example, 2382601 + ... + 2383831.

Almost surely, 22933738896 is an apocalyptic number.

2933738896 is the 54164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2933738896

2933738896 is an abundant number, since it is smaller than the sum of its proper divisors (3319174043).

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

2933738896 is an equidigital number, since it uses as much as digits as its factorization.

2933738896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1244 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 58.

The cubic root of 2933738896 is about 1431.5520820624.

The spelling of 2933738896 in words is "two billion, nine hundred thirty-three million, seven hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1231 1936 2462 4924 9848 13541 19696 27082 54164 108328 148951 216656 297902 595804 1191608 1515361 2383216 3030722 6061444 12122888 16668971 24245776 33337942 66675884 133351768 183358681 266703536 366717362 733434724 1466869448 2933738896