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2957942624 = 257213312151
BaseRepresentation
bin1011000001001110…
…1001111101100000
321122010220001110112
42300103221331200
522024213130444
61205302550452
7133205045300
oct26023517540
97563801415
102957942624
11128875508a
126a6738428
13381a7a410
14200bb9600
15124a3769e
hexb04e9f60

2957942624 has 216 divisors, whose sum is σ = 7588156464. Its totient is φ = 1124928000.

The previous prime is 2957942621. The next prime is 2957942627. The reversal of 2957942624 is 4262497592.

It is an interprime number because it is at equal distance from previous prime (2957942621) and next prime (2957942627).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2957942621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19588949 + ... + 19589099.

It is an arithmetic number, because the mean of its divisors is an integer number (35130354).

Almost surely, 22957942624 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 2957942624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794078232).

2957942624 is an abundant number, since it is smaller than the sum of its proper divisors (4630213840).

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

2957942624 is a wasteful number, since it uses less digits than its factorization.

2957942624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 204 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 2957942624 is about 54386.9710868329. The cubic root of 2957942624 is about 1435.4781353357.

The spelling of 2957942624 in words is "two billion, nine hundred fifty-seven million, nine hundred forty-two thousand, six hundred twenty-four".