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2957049824 = 25316744491
BaseRepresentation
bin1011000001000000…
…1111111111100000
321122002012200202212
42300100033333200
522024001043244
61205231501252
7133164336341
oct26020177740
97562180685
102957049824
1112881a5333
126a6387828
13381826c31
14200a260c8
1512490cd9e
hexb040ffe0

2957049824 has 48 divisors (see below), whose sum is σ = 6099319296. Its totient is φ = 1409443200.

The previous prime is 2957049707. The next prime is 2957049827. The reversal of 2957049824 is 4289407592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957049827) 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, 44219 + ... + 88709.

It is an arithmetic number, because the mean of its divisors is an integer number (127069152).

Almost surely, 22957049824 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 2957049824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049659648).

2957049824 is an abundant number, since it is smaller than the sum of its proper divisors (3142269472).

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

2957049824 is a wasteful number, since it uses less digits than its factorization.

2957049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44599 (or 44591 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 2957049824 is about 54378.7626192432. The cubic root of 2957049824 is about 1435.3336966717. Note that the first 3 decimals are identical.

The spelling of 2957049824 in words is "two billion, nine hundred fifty-seven million, forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 2077 2144 4154 8308 16616 33232 44491 66464 88982 177964 355928 711856 1379221 1423712 2758442 2980897 5516884 5961794 11033768 11923588 22067536 23847176 44135072 47694352 92407807 95388704 184815614 369631228 739262456 1478524912 2957049824