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49532288 = 2713172103
BaseRepresentation
bin1011110011110…
…0110110000000
310110012111112012
42330330312000
5100140013123
64525352052
71141006001
oct274746600
9113174465
1049532288
1125a61383
1214708628
13a353560
1468151a8
154536378
hex2f3cd80

49532288 has 96 divisors (see below), whose sum is σ = 113982960. Its totient is φ = 21307392.

The previous prime is 49532267. The next prime is 49532291. The reversal of 49532288 is 88223594.

49532288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (138240) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480845 + ... + 480947.

Almost surely, 249532288 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 49532288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56991480).

49532288 is an abundant number, since it is smaller than the sum of its proper divisors (64450672).

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

49532288 is a wasteful number, since it uses less digits than its factorization.

49532288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 49532288 is about 7037.9178739170. The cubic root of 49532288 is about 367.2508388687.

The spelling of 49532288 in words is "forty-nine million, five hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 103 104 128 136 206 208 221 272 289 412 416 442 544 578 824 832 884 1088 1156 1339 1648 1664 1751 1768 2176 2312 2678 3296 3502 3536 3757 4624 5356 6592 7004 7072 7514 9248 10712 13184 14008 14144 15028 18496 21424 22763 28016 28288 29767 30056 36992 42848 45526 56032 59534 60112 85696 91052 112064 119068 120224 171392 182104 224128 238136 240448 364208 386971 476272 480896 728416 773942 952544 1456832 1547884 1905088 2913664 3095768 3810176 6191536 12383072 24766144 49532288