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49150528 = 26732239
BaseRepresentation
bin1011101101111…
…1101001000000
310102111002211221
42323133221000
5100040304103
64513244424
71134526000
oct273375100
9112432757
1049150528
1125820579
1214563714
13a24b86b
146756000
1544ad1bd
hex2edfa40

49150528 has 56 divisors (see below), whose sum is σ = 113792000. Its totient is φ = 21055104.

The previous prime is 49150501. The next prime is 49150529. The reversal of 49150528 is 82505194.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 49150493 and 49150502.

It is not an unprimeable number, because it can be changed into a prime (49150529) 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, 20833 + ... + 23071.

It is an arithmetic number, because the mean of its divisors is an integer number (2032000).

Almost surely, 249150528 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 49150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56896000).

49150528 is an abundant number, since it is smaller than the sum of its proper divisors (64641472).

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

49150528 is an equidigital number, since it uses as much as digits as its factorization.

49150528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 49150528 is about 7010.7437551233. The cubic root of 49150528 is about 366.3049008545.

The spelling of 49150528 in words is "forty-nine million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2239 2744 3136 4478 5488 8956 10976 15673 17912 21952 31346 35824 62692 71648 109711 125384 143296 219422 250768 438844 501536 767977 877688 1003072 1535954 1755376 3071908 3510752 6143816 7021504 12287632 24575264 49150528