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2942574208 = 2777514373
BaseRepresentation
bin1010111101100100…
…0001111010000000
321121001222020221221
42233121001322000
522011244333313
61203553324424
7132630316360
oct25731017200
97531866857
102942574208
111280008612
126a1566714
1337b829192
141dcb389a0
151234edc8d
hexaf641e80

2942574208 has 64 divisors (see below), whose sum is σ = 6710065920. Its totient is φ = 1259136000.

The previous prime is 2942574133. The next prime is 2942574209. The reversal of 2942574208 is 8024752492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2942574209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670710 + ... + 675082.

It is an arithmetic number, because the mean of its divisors is an integer number (104844780).

Almost surely, 22942574208 is an apocalyptic number.

2942574208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2942574208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355032960).

2942574208 is an abundant number, since it is smaller than the sum of its proper divisors (3767491712).

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

2942574208 is an equidigital number, since it uses as much as digits as its factorization.

2942574208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 2942574208 is about 54245.4994262197. The cubic root of 2942574208 is about 1432.9877396233.

The spelling of 2942574208 in words is "two billion, nine hundred forty-two million, five hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 751 896 1502 3004 4373 5257 6008 8746 10514 12016 17492 21028 24032 30611 34984 42056 48064 61222 69968 84112 96128 122444 139936 168224 244888 279872 336448 489776 559744 672896 979552 1959104 3284123 3918208 6568246 13136492 22988861 26272984 45977722 52545968 91955444 105091936 183910888 210183872 367821776 420367744 735643552 1471287104 2942574208