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1457841216 = 263133183227
BaseRepresentation
bin101011011100100…
…1110010001000000
310202121012000012010
41112321032101000
510441201404331
6400354332520
751061305636
oct12671162100
93677160163
101457841216
11688a05757
1234828a140
131a3050c50
14db88b356
1587ebce46
hex56e4e440

1457841216 has 224 divisors, whose sum is σ = 4358688768. Its totient is φ = 426977280.

The previous prime is 1457841211. The next prime is 1457841221. The reversal of 1457841216 is 6121487541.

It is an interprime number because it is at equal distance from previous prime (1457841211) and next prime (1457841221).

It is a super-2 number, since 2×14578412162 = 4250602022136717312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1457841211) 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 31 ways as a sum of consecutive naturals, for example, 6422095 + ... + 6422321.

It is an arithmetic number, because the mean of its divisors is an integer number (19458432).

Almost surely, 21457841216 is an apocalyptic number.

1457841216 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 1457841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179344384).

1457841216 is an abundant number, since it is smaller than the sum of its proper divisors (2900847552).

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

1457841216 is a wasteful number, since it uses less digits than its factorization.

1457841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1457841216 is about 38181.6869192549. The cubic root of 1457841216 is about 1133.8877797682.

The spelling of 1457841216 in words is "one billion, four hundred fifty-seven million, eight hundred forty-one thousand, two hundred sixteen".