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499744608 = 253114710069
BaseRepresentation
bin11101110010010…
…111111101100000
31021211100122201120
4131302113331200
52010413311413
6121331132240
715245521236
oct3562277540
91254318646
10499744608
11237102580
1211b444080
137c6c5a8c
144a52a956
152dd17723
hex1dc97f60

499744608 has 96 divisors (see below), whose sum is σ = 1461680640. Its totient is φ = 148200960.

The previous prime is 499744603. The next prime is 499744657. The reversal of 499744608 is 806447994.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499744601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44598 + ... + 54666.

It is an arithmetic number, because the mean of its divisors is an integer number (15225840).

Almost surely, 2499744608 is an apocalyptic number.

499744608 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 499744608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730840320).

499744608 is an abundant number, since it is smaller than the sum of its proper divisors (961936032).

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

499744608 is a wasteful number, since it uses less digits than its factorization.

499744608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 499744608 is about 22354.9683068440. The cubic root of 499744608 is about 793.5653664592.

The spelling of 499744608 in words is "four hundred ninety-nine million, seven hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 10069 12408 16544 20138 24816 30207 40276 49632 60414 80552 110759 120828 161104 221518 241656 322208 332277 443036 473243 483312 664554 886072 946486 966624 1329108 1419729 1772144 1892972 2658216 2839458 3544288 3785944 5205673 5316432 5678916 7571888 10411346 10632864 11357832 15143776 15617019 20822692 22715664 31234038 41645384 45431328 62468076 83290768 124936152 166581536 249872304 499744608