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49830528 = 2731147251
BaseRepresentation
bin1011111000010…
…1101010000000
310110202122122010
42332011222000
5100224034103
64540012520
71143360336
oct276055200
9113678563
1049830528
1126145460
1214831140
13a429227
146891b56
154594903
hex2f85a80

49830528 has 128 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 14720000.

The previous prime is 49830523. The next prime is 49830533. The reversal of 49830528 is 82503894.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49830523) and next prime (49830533).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (49830523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198403 + ... + 198653.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 249830528 is an apocalyptic number.

49830528 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 49830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

49830528 is an abundant number, since it is smaller than the sum of its proper divisors (98224512).

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

49830528 is a wasteful number, since it uses less digits than its factorization.

49830528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 49830528 is about 7059.0741602564. The cubic root of 49830528 is about 367.9864519272.

The spelling of 49830528 in words is "forty-nine million, eight hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 132 141 176 188 192 251 264 282 352 376 384 502 517 528 564 704 752 753 1004 1034 1056 1128 1408 1504 1506 1551 2008 2068 2112 2256 2761 3008 3012 3102 4016 4136 4224 4512 5522 6016 6024 6204 8032 8272 8283 9024 11044 11797 12048 12408 16064 16544 16566 18048 22088 23594 24096 24816 32128 33088 33132 35391 44176 47188 48192 49632 66176 66264 70782 88352 94376 96384 99264 129767 132528 141564 176704 188752 198528 259534 265056 283128 353408 377504 389301 519068 530112 566256 755008 778602 1038136 1060224 1132512 1510016 1557204 2076272 2265024 3114408 4152544 4530048 6228816 8305088 12457632 16610176 24915264 49830528