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1457327472 = 243233593677
BaseRepresentation
bin101011011011101…
…0000110101110000
310202120012220110120
41112313100311300
510441033434342
6400335330240
751054036066
oct12667206560
93676186416
101457327472
11688694777
12348080980
131a2c01163
14db796036
1587e1aaec
hex56dd0d70

1457327472 has 80 divisors (see below), whose sum is σ = 3940462080. Its totient is φ = 463234816.

The previous prime is 1457327467. The next prime is 1457327503. The reversal of 1457327472 is 2747237541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394498 + ... + 398174.

It is an arithmetic number, because the mean of its divisors is an integer number (49255776).

Almost surely, 21457327472 is an apocalyptic number.

1457327472 is a gapful number since it is divisible by the number (12) 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 1457327472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970231040).

1457327472 is an abundant number, since it is smaller than the sum of its proper divisors (2483134608).

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

1457327472 is a wasteful number, since it uses less digits than its factorization.

1457327472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4064 counting only the distinct ones).

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

The square root of 1457327472 is about 38174.9587033175. The cubic root of 1457327472 is about 1133.7545699055.

The spelling of 1457327472 in words is "one billion, four hundred fifty-seven million, three hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 359 368 552 718 1077 1104 1436 2154 2872 3677 4308 5744 7354 8257 8616 11031 14708 16514 17232 22062 24771 29416 33028 44124 49542 58832 66056 84571 88248 99084 132112 169142 176496 198168 253713 338284 396336 507426 676568 1014852 1320043 1353136 2029704 2640086 3960129 4059408 5280172 7920258 10560344 15840516 21120688 30360989 31681032 60721978 63362064 91082967 121443956 182165934 242887912 364331868 485775824 728663736 1457327472