Search a number
-
+
488055456 = 2534737727
BaseRepresentation
bin11101000101110…
…010001010100000
31021000100210020000
4131011302022200
51444420233311
6120232420000
715044255130
oct3505621240
91230323200
10488055456
11230549319
12117547600
137a162415
1448b66ac0
152cca9056
hex1d1722a0

488055456 has 240 divisors, whose sum is σ = 1687061376. Its totient is φ = 135489024.

The previous prime is 488055427. The next prime is 488055479. The reversal of 488055456 is 654550884.

488055456 is a `hidden beast` number, since 48 + 8 + 0 + 554 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 670965 + ... + 671691.

Almost surely, 2488055456 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 488055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843530688).

488055456 is an abundant number, since it is smaller than the sum of its proper divisors (1199005920).

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

488055456 is a wasteful number, since it uses less digits than its factorization.

488055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 488055456 is about 22091.9771863000. The cubic root of 488055456 is about 787.3292582214.

The spelling of 488055456 in words is "four hundred eighty-eight million, fifty-five thousand, four hundred fifty-six".