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495238224 = 243134318457
BaseRepresentation
bin11101100001001…
…011110001010000
31021111212201010110
4131201023301100
52003240110344
6121050401320
715162312135
oct3541136120
91244781113
10495238224
11234604898
12119a30240
137b7a8890
1449ab658c
152d7273b9
hex1d84bc50

495238224 has 80 divisors (see below), whose sum is σ = 1409895872. Its totient is φ = 148829184.

The previous prime is 495238223. The next prime is 495238259. The reversal of 495238224 is 422832594.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495238223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17604 + ... + 36060.

Almost surely, 2495238224 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 495238224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704947936).

495238224 is an abundant number, since it is smaller than the sum of its proper divisors (914657648).

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

495238224 is a wasteful number, since it uses less digits than its factorization.

495238224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18524 (or 18518 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 495238224 is about 22253.9485035802. The cubic root of 495238224 is about 791.1728687521.

The spelling of 495238224 in words is "four hundred ninety-five million, two hundred thirty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8944 13416 18457 26832 36914 55371 73828 110742 147656 221484 239941 295312 442968 479882 719823 793651 885936 959764 1439646 1587302 1919528 2380953 2879292 3174604 3839056 4761906 5758584 6349208 9523812 10317463 11517168 12698416 19047624 20634926 30952389 38095248 41269852 61904778 82539704 123809556 165079408 247619112 495238224