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488197248 = 27371121979
BaseRepresentation
bin11101000110010…
…100110010000000
31021000121222201120
4131012110302000
51444434302443
6120235432240
715045415410
oct3506246200
91230558646
10488197248
11230635900
121175b5680
137a1b1b16
1448ba2640
152ccd6083
hex1d194c80

488197248 has 384 divisors, whose sum is σ = 1736448000. Its totient is φ = 118609920.

The previous prime is 488197231. The next prime is 488197249. The reversal of 488197248 is 842791884.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (1032192) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 488197248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488197249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6179673 + ... + 6179751.

It is an arithmetic number, because the mean of its divisors is an integer number (4522000).

Almost surely, 2488197248 is an apocalyptic number.

488197248 is a gapful number since it is divisible by the number (48) 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 488197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868224000).

488197248 is an abundant number, since it is smaller than the sum of its proper divisors (1248250752).

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

488197248 is a wasteful number, since it uses less digits than its factorization.

488197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 488197248 is about 22095.1860820406. The cubic root of 488197248 is about 787.4054969490.

The spelling of 488197248 in words is "four hundred eighty-eight million, one hundred ninety-seven thousand, two hundred forty-eight".