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1457422408 = 231341536449
BaseRepresentation
bin101011011011110…
…1000000001001000
310202120101201200201
41112313220001020
510441100004113
6400341341544
751054612631
oct12667500110
93676351621
101457422408
1168874a032
123481078b4
131a2c35430
14db7bc888
1587e38cdd
hex56de8048

1457422408 has 64 divisors (see below), whose sum is σ = 3072006000. Its totient is φ = 643768320.

The previous prime is 1457422403. The next prime is 1457422433. The reversal of 1457422408 is 8042247541.

It can be written as a sum of positive squares in 8 ways, for example, as 645058404 + 812364004 = 25398^2 + 28502^2 .

It is not an unprimeable number, because it can be changed into a prime (1457422403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222768 + ... + 229216.

Almost surely, 21457422408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457422408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536003000).

1457422408 is an abundant number, since it is smaller than the sum of its proper divisors (1614583592).

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

1457422408 is a wasteful number, since it uses less digits than its factorization.

1457422408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The square root of 1457422408 is about 38176.2021159780. The cubic root of 1457422408 is about 1133.7791884370.

Adding to 1457422408 its reverse (8042247541), we get a palindrome (9499669949).

The spelling of 1457422408 in words is "one billion, four hundred fifty-seven million, four hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 41 52 53 82 104 106 164 212 328 424 533 689 1066 1378 2132 2173 2756 4264 4346 5512 6449 8692 12898 17384 25796 28249 51592 56498 83837 112996 167674 225992 264409 335348 341797 528818 670696 683594 1057636 1367188 2115272 2734376 3437317 4443361 6874634 8886722 13749268 14013677 17773444 27498536 28027354 35546888 56054708 112109416 182177801 364355602 728711204 1457422408