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498961424 = 241317731933
BaseRepresentation
bin11101101111011…
…000110000010000
31021202212212101202
4131233120300100
52010213231144
6121302250332
715236050013
oct3557306020
91252785352
10498961424
11236718115
1211b1269a8
137c4b0460
144a3a537a
152dc1064e
hex1dbd8c10

498961424 has 80 divisors (see below), whose sum is σ = 1118022192. Its totient is φ = 213663744.

The previous prime is 498961423. The next prime is 498961427. The reversal of 498961424 is 424169894.

It can be written as a sum of positive squares in 8 ways, for example, as 3097600 + 495863824 = 1760^2 + 22268^2 .

It is not an unprimeable number, because it can be changed into a prime (498961423) 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, 257162 + ... + 259094.

Almost surely, 2498961424 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 498961424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559011096).

498961424 is an abundant number, since it is smaller than the sum of its proper divisors (619060768).

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

498961424 is a wasteful number, since it uses less digits than its factorization.

498961424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2038 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 498961424 is about 22337.4444375358. Note that the first 4 decimals coincide. The cubic root of 498961424 is about 793.1505995029.

The spelling of 498961424 in words is "four hundred ninety-eight million, nine hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 73 104 136 146 208 221 272 292 442 584 884 949 1168 1241 1768 1898 1933 2482 3536 3796 3866 4964 7592 7732 9928 15184 15464 16133 19856 25129 30928 32266 32861 50258 64532 65722 100516 129064 131444 141109 201032 258128 262888 282218 402064 427193 525776 564436 854386 1128872 1708772 1834417 2257744 2398853 3417544 3668834 4797706 6835088 7337668 9595412 14675336 19190824 29350672 31185089 38381648 62370178 124740356 249480712 498961424