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2926405040 = 245132813851
BaseRepresentation
bin1010111001101101…
…0110010110110000
321112221112210000212
42232123112112300
521443124430130
61202215003252
7132343014056
oct25633262660
97487483025
102926405040
111271974469
12698069528
13378387620
141da92a1d6
15121da7e95
hexae6d65b0

2926405040 has 40 divisors (see below), whose sum is σ = 7327270608. Its totient is φ = 1080518400.

The previous prime is 2926405037. The next prime is 2926405043. The reversal of 2926405040 is 405046292.

It is an interprime number because it is at equal distance from previous prime (2926405037) and next prime (2926405043).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2926404988 and 2926405006.

It is not an unprimeable number, because it can be changed into a prime (2926405043) 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 7 ways as a sum of consecutive naturals, for example, 1405886 + ... + 1407965.

Almost surely, 22926405040 is an apocalyptic number.

2926405040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2926405040 is an abundant number, since it is smaller than the sum of its proper divisors (4400865568).

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

2926405040 is a wasteful number, since it uses less digits than its factorization.

2926405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813877 (or 2813871 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2926405040 is about 54096.2571718229. The cubic root of 2926405040 is about 1430.3582065131.

The spelling of 2926405040 in words is "two billion, nine hundred twenty-six million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2813851 5627702 11255404 14069255 22510808 28138510 36580063 45021616 56277020 73160126 112554040 146320252 182900315 225108080 292640504 365800630 585281008 731601260 1463202520 2926405040