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49260528 = 24331011129
BaseRepresentation
bin1011101111101…
…0011111110000
310102200200202000
42323322133300
5100102314103
64515454000
71135464462
oct273723760
9112620660
1049260528
1125896189
12145b7300
13a289955
146784132
1544d0aa3
hex2efa7f0

49260528 has 80 divisors (see below), whose sum is σ = 142922400. Its totient is φ = 16243200.

The previous prime is 49260527. The next prime is 49260571. The reversal of 49260528 is 82506294.

It is a happy number.

49260528 is a `hidden beast` number, since 49 + 2 + 605 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49260492 and 49260501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49260527) 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, 43068 + ... + 44196.

It is an arithmetic number, because the mean of its divisors is an integer number (1786530).

Almost surely, 249260528 is an apocalyptic number.

49260528 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 49260528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71461200).

49260528 is an abundant number, since it is smaller than the sum of its proper divisors (93661872).

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

49260528 is a wasteful number, since it uses less digits than its factorization.

49260528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49260528 is about 7018.5844726697. The cubic root of 49260528 is about 366.5779634832.

The spelling of 49260528 in words is "forty-nine million, two hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1129 1212 1616 1818 2258 2424 2727 3387 3636 4516 4848 5454 6774 7272 9032 10161 10908 13548 14544 18064 20322 21816 27096 30483 40644 43632 54192 60966 81288 114029 121932 162576 228058 243864 342087 456116 487728 684174 912232 1026261 1368348 1824464 2052522 2736696 3078783 4105044 5473392 6157566 8210088 12315132 16420176 24630264 49260528