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484463616 = 21037131733
BaseRepresentation
bin11100111000000…
…101010000000000
31020202121022010220
4130320011100000
51443010313431
6120023423040
715001605240
oct3470052000
91222538126
10484463616
1122951575a
121162b4a80
13794a5580
14484adb20
152c7e9b96
hex1ce05400

484463616 has 176 divisors, whose sum is σ = 1590175104. Its totient is φ = 127696896.

The previous prime is 484463611. The next prime is 484463633. The reversal of 484463616 is 616364484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484463611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278686 + ... + 280418.

Almost surely, 2484463616 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 484463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795087552).

484463616 is an abundant number, since it is smaller than the sum of its proper divisors (1105711488).

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

484463616 is a wasteful number, since it uses less digits than its factorization.

484463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1758 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 484463616 is about 22010.5342052391. The cubic root of 484463616 is about 785.3930529238.

The spelling of 484463616 in words is "four hundred eighty-four million, four hundred sixty-three thousand, six hundred sixteen".