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5249232 = 243329419
BaseRepresentation
bin10100000001100011010000
3100212200121000
4110001203100
52320433412
6304302000
762421612
oct24014320
910780530
105249232
112a6590a
121911900
13111a371
149a8db2
156da4dc
hex5018d0

5249232 has 80 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1685376.

The previous prime is 5249219. The next prime is 5249239. The reversal of 5249232 is 2329425.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5249196 and 5249205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5249239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12319 + ... + 12737.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 25249232 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 5249232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

5249232 is an abundant number, since it is smaller than the sum of its proper divisors (10374768).

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

5249232 is a wasteful number, since it uses less digits than its factorization.

5249232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 5249232 is about 2291.1202500087. The cubic root of 5249232 is about 173.7928569470.

It can be divided in two parts, 52 and 49232, that added together give a square (49284 = 2222).

The spelling of 5249232 in words is "five million, two hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 419 432 464 522 696 783 838 1044 1257 1392 1566 1676 2088 2514 3132 3352 3771 4176 5028 6264 6704 7542 10056 11313 12151 12528 15084 20112 22626 24302 30168 36453 45252 48604 60336 72906 90504 97208 109359 145812 181008 194416 218718 291624 328077 437436 583248 656154 874872 1312308 1749744 2624616 5249232