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5029248 = 27371871
BaseRepresentation
bin10011001011110110000000
3100110111211110
4103023312000
52241413443
6255443320
760514350
oct23136600
910414743
105029248
112925604
121826540
1310711b3
1494cb60
15695233
hex4cbd80

5029248 has 64 divisors (see below), whose sum is σ = 15275520. Its totient is φ = 1436160.

The previous prime is 5029247. The next prime is 5029253. The reversal of 5029248 is 8429205.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 25029248 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 5029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760).

5029248 is an abundant number, since it is smaller than the sum of its proper divisors (10246272).

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

5029248 is a wasteful number, since it uses less digits than its factorization.

5029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5029248 is about 2242.5984928203. The cubic root of 5029248 is about 171.3303691527.

The spelling of 5029248 in words is "five million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1871 2688 3742 5613 7484 11226 13097 14968 22452 26194 29936 39291 44904 52388 59872 78582 89808 104776 119744 157164 179616 209552 239488 314328 359232 419104 628656 718464 838208 1257312 1676416 2514624 5029248