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1257347742 = 23724276693
BaseRepresentation
bin100101011110001…
…1001101010011110
310020121220212211220
41022330121222132
510033340111432
6324433154210
743105164600
oct11274315236
93217825756
101257347742
11595815a72
122b10bb966
13170653161
14bcdbb170
15755b772c
hex4af19a9e

1257347742 has 24 divisors (see below), whose sum is σ = 2925258696. Its totient is φ = 359242128.

The previous prime is 1257347737. The next prime is 1257347747. The reversal of 1257347742 is 2477437521.

It is an interprime number because it is at equal distance from previous prime (1257347737) and next prime (1257347747).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1257347694 and 1257347703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257347747) 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 11 ways as a sum of consecutive naturals, for example, 2138053 + ... + 2138640.

It is an arithmetic number, because the mean of its divisors is an integer number (121885779).

Almost surely, 21257347742 is an apocalyptic number.

1257347742 is an abundant number, since it is smaller than the sum of its proper divisors (1667910954).

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

1257347742 is a wasteful number, since it uses less digits than its factorization.

1257347742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276712 (or 4276705 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 1257347742 is about 35459.0995655558. The cubic root of 1257347742 is about 1079.3239201409.

The spelling of 1257347742 in words is "one billion, two hundred fifty-seven million, three hundred forty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 4276693 8553386 12830079 25660158 29936851 59873702 89810553 179621106 209557957 419115914 628673871 1257347742