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493618944 = 28372131009
BaseRepresentation
bin11101011011000…
…000011100000000
31021101211102220010
4131123000130000
52002331301234
6120551544520
715142456200
oct3533003400
91241742803
10493618944
112336a9245
1211938b140
137b35c820
14497b4400
152d5076e9
hex1d6c0700

493618944 has 216 divisors, whose sum is σ = 1647423120. Its totient is φ = 130056192.

The previous prime is 493618943. The next prime is 493619023. The reversal of 493618944 is 449816394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 493618893 and 493618902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493618943) 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 23 ways as a sum of consecutive naturals, for example, 488712 + ... + 489720.

Almost surely, 2493618944 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 493618944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823711560).

493618944 is an abundant number, since it is smaller than the sum of its proper divisors (1153804176).

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

493618944 is a wasteful number, since it uses less digits than its factorization.

493618944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1034 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 493618944 is about 22217.5368571766. The cubic root of 493618944 is about 790.3096281362.

The spelling of 493618944 in words is "four hundred ninety-three million, six hundred eighteen thousand, nine hundred forty-four".