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1457834472 = 233220247701
BaseRepresentation
bin101011011100100…
…1100100111101000
310202121011122221100
41112321030213220
510441201200342
6400354241400
751061250163
oct12671144750
93677148840
101457834472
11688a00686
12348286260
131a304ab63
14db888ada
1587ebae4c
hex56e4c9e8

1457834472 has 24 divisors (see below), whose sum is σ = 3948301890. Its totient is φ = 485944800.

The previous prime is 1457834449. The next prime is 1457834501. The reversal of 1457834472 is 2744387541.

1457834472 is a `hidden beast` number, since 1 + 4 + 578 + 3 + 4 + 4 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1446585156 + 11249316 = 38034^2 + 3354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10123779 + ... + 10123922.

Almost surely, 21457834472 is an apocalyptic number.

1457834472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1457834472 is an abundant number, since it is smaller than the sum of its proper divisors (2490467418).

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

1457834472 is a wasteful number, since it uses less digits than its factorization.

1457834472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20247713 (or 20247706 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 1457834472 is about 38181.5986045634. The cubic root of 1457834472 is about 1133.8860313037.

The spelling of 1457834472 in words is "one billion, four hundred fifty-seven million, eight hundred thirty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 20247701 40495402 60743103 80990804 121486206 161981608 182229309 242972412 364458618 485944824 728917236 1457834472