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488255040 = 2636571323
BaseRepresentation
bin11101000110100…
…010111001000000
31021000201221000000
4131012202321000
51444443130130
6120241000000
715046046040
oct3506427100
91230657000
10488255040
11230675269
12117623000
137a202210
1448bb9720
152cce8260
hex1d1a2e40

488255040 has 784 divisors, whose sum is σ = 2238743808. Its totient is φ = 98537472.

The previous prime is 488254993. The next prime is 488255069. The reversal of 488255040 is 40552884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 488254986 and 488255004.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21228469 + ... + 21228491.

Almost surely, 2488255040 is an apocalyptic number.

488255040 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 488255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119371904).

488255040 is an abundant number, since it is smaller than the sum of its proper divisors (1750488768).

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

488255040 is a wasteful number, since it uses less digits than its factorization.

488255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 488255040 is about 22096.4938395212. The cubic root of 488255040 is about 787.4365663191.

The spelling of 488255040 in words is "four hundred eighty-eight million, two hundred fifty-five thousand, forty".