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1457714096 = 241722723609
BaseRepresentation
bin101011011100010…
…1111001110110000
310202120221112210222
41112320233032300
510441133322341
6400351512212
751060236216
oct12670571660
93676845728
101457714096
116889291a3
12348228668
131a3008127
14db856cb6
1587e9544b
hex56e2f3b0

1457714096 has 40 divisors (see below), whose sum is σ = 3003758640. Its totient is φ = 682932224.

The previous prime is 1457714077. The next prime is 1457714099. The reversal of 1457714096 is 6904177541.

It is not an unprimeable number, because it can be changed into a prime (1457714099) 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, 49940 + ... + 73548.

It is an arithmetic number, because the mean of its divisors is an integer number (75093966).

Almost surely, 21457714096 is an apocalyptic number.

1457714096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457714096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501879320).

1457714096 is an abundant number, since it is smaller than the sum of its proper divisors (1546044544).

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

1457714096 is a wasteful number, since it uses less digits than its factorization.

1457714096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23861 (or 23855 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 1457714096 is about 38180.0222105750. The cubic root of 1457714096 is about 1133.8548214454.

The spelling of 1457714096 in words is "one billion, four hundred fifty-seven million, seven hundred fourteen thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 227 272 454 908 1816 3632 3859 7718 15436 23609 30872 47218 61744 94436 188872 377744 401353 802706 1605412 3210824 5359243 6421648 10718486 21436972 42873944 85747888 91107131 182214262 364428524 728857048 1457714096