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4857456240 = 2432573131789
BaseRepresentation
bin1001000011000011…
…01110011001110000
3110112112011100021200
410201201232121300
534422002044430
62122000051200
7231241461000
oct44141563160
913475140250
104857456240
1120729a884a
12b36903b00
135c5470780
14341198000
151d669b460
hex12186e670

4857456240 has 960 divisors, whose sum is σ = 21936096000. Its totient is φ = 953745408.

The previous prime is 4857456221. The next prime is 4857456259. The reversal of 4857456240 is 426547584.

4857456240 is a `hidden beast` number, since 4 + 8 + 574 + 56 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4857456221) and next prime (4857456259).

It is a super-3 number, since 3×48574562403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54578116 + ... + 54578204.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 24857456240 is an apocalyptic number.

4857456240 is a gapful number since it is divisible by the number (40) 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 4857456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968048000).

4857456240 is an abundant number, since it is smaller than the sum of its proper divisors (17078639760).

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

4857456240 is a wasteful number, since it uses less digits than its factorization.

4857456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4857456240 is about 69695.4535102542. The cubic root of 4857456240 is about 1693.5692732736.

The spelling of 4857456240 in words is "four billion, eight hundred fifty-seven million, four hundred fifty-six thousand, two hundred forty".