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1038114749 = 71072575393
BaseRepresentation
bin111101111000000…
…101111110111101
32200100101200201102
4331320011332331
54111224132444
6251002222445
734503554420
oct7570057675
92610350642
101038114749
11492a96a81
1224b7b4a25
131370c38a9
149bc2d9b7
156120e84e
hex3de05fbd

1038114749 has 16 divisors (see below), whose sum is σ = 1202387328. Its totient is φ = 877903872.

The previous prime is 1038114733. The next prime is 1038114751. The reversal of 1038114749 is 9474118301.

It is a cyclic number.

It is not a de Polignac number, because 1038114749 - 24 = 1038114733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038114719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189797 + ... + 195189.

It is an arithmetic number, because the mean of its divisors is an integer number (75149208).

Almost surely, 21038114749 is an apocalyptic number.

It is an amenable number.

1038114749 is a deficient number, since it is larger than the sum of its proper divisors (164272579).

1038114749 is a wasteful number, since it uses less digits than its factorization.

1038114749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5764.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1038114749 is about 32219.7881588318. The cubic root of 1038114749 is about 1012.5468348807.

The spelling of 1038114749 in words is "one billion, thirty-eight million, one hundred fourteen thousand, seven hundred forty-nine".

Divisors: 1 7 107 257 749 1799 5393 27499 37751 192493 577051 1386001 4039357 9702007 148302107 1038114749