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49532896 = 257397557
BaseRepresentation
bin1011110011110…
…0111111100000
310110012112100201
42330330333200
5100140023041
64525354544
71141010530
oct274747740
9113175321
1049532896
1125a61886
1214708a54
13a35390a
1468154c0
154536631
hex2f3cfe0

49532896 has 48 divisors (see below), whose sum is σ = 111930336. Its totient is φ = 21136896.

The previous prime is 49532893. The next prime is 49532927. The reversal of 49532896 is 69823594.

It is a super-2 number, since 2×495328962 = 4907015572293632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49532893) 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, 88650 + ... + 89206.

It is an arithmetic number, because the mean of its divisors is an integer number (2331882).

Almost surely, 249532896 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 49532896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55965168).

49532896 is an abundant number, since it is smaller than the sum of its proper divisors (62397440).

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

49532896 is a wasteful number, since it uses less digits than its factorization.

49532896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 963 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 49532896 is about 7037.9610683777. The cubic root of 49532896 is about 367.2523415087.

The spelling of 49532896 in words is "forty-nine million, five hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 397 557 794 1114 1588 2228 2779 3176 3899 4456 5558 6352 7798 8912 11116 12704 15596 17824 22232 31192 44464 62384 88928 124768 221129 442258 884516 1547903 1769032 3095806 3538064 6191612 7076128 12383224 24766448 49532896