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485941248 = 21333133
BaseRepresentation
bin11100111101101…
…110000000000000
31020212101101002000
4130331232000000
51443400104443
6120115224000
715020301222
oct3475560000
91225341060
10485941248
1122a334941
121168a8000
13798a2000
1448776412
152c9dc8d3
hex1cf6e000

485941248 has 224 divisors, whose sum is σ = 1559661600. Its totient is φ = 149520384.

The previous prime is 485941201. The next prime is 485941297. The reversal of 485941248 is 842149584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

485941248 is a `hidden beast` number, since 4 + 8 + 594 + 12 + 48 = 666.

It is a super-2 number, since 2×4859412482 = 472277793015595008, which contains 22 as substring.

Its product of digits (368640) is a multiple of the sum of its prime divisors (18).

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, 37380090 + ... + 37380102.

It is an arithmetic number, because the mean of its divisors is an integer number (6962775).

Almost surely, 2485941248 is an apocalyptic number.

485941248 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 485941248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779830800).

485941248 is an abundant number, since it is smaller than the sum of its proper divisors (1073720352).

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

485941248 is an frugal number, since it uses more digits than its factorization.

485941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 18 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 485941248 is about 22044.0751223543. The cubic root of 485941248 is about 786.1907351344.

The spelling of 485941248 in words is "four hundred eighty-five million, nine hundred forty-one thousand, two hundred forty-eight".