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2958640704 = 26325136529
BaseRepresentation
bin1011000001011001…
…0100011001000000
321122012012112001100
42300112110121000
522024403000304
61205325534400
7133214013435
oct26026243100
97565175040
102958640704
111289091608
126a6a14400
13381c63096
14200d1bb8c
15124b24439
hexb0594640

2958640704 has 42 divisors (see below), whose sum is σ = 8480411030. Its totient is φ = 986213376.

The previous prime is 2958640703. The next prime is 2958640709. The reversal of 2958640704 is 4070468592.

It is a happy number.

2958640704 is a `hidden beast` number, since 29 + 586 + 40 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2921186304 + 37454400 = 54048^2 + 6120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2958640704.

It is not an unprimeable number, because it can be changed into a prime (2958640703) 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 5 ways as a sum of consecutive naturals, for example, 2567689 + ... + 2568840.

Almost surely, 22958640704 is an apocalyptic number.

2958640704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2958640704 is an abundant number, since it is smaller than the sum of its proper divisors (5521770326).

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

2958640704 is a wasteful number, since it uses less digits than its factorization.

2958640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136547 (or 5136534 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2958640704 is about 54393.3884217558. The cubic root of 2958640704 is about 1435.5910516296.

The spelling of 2958640704 in words is "two billion, nine hundred fifty-eight million, six hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 5136529 10273058 15409587 20546116 30819174 41092232 46228761 61638348 82184464 92457522 123276696 164368928 184915044 246553392 328737856 369830088 493106784 739660176 986213568 1479320352 2958640704