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49848448 = 2713291033
BaseRepresentation
bin1011111000101…
…0000010000000
310110210120012211
42332022002000
5100230122243
64540231504
71143463516
oct276120200
9113716184
1049848448
1126157971
121483b594
13a434430
1468984b6
154599d9d
hex2f8a080

49848448 has 64 divisors (see below), whose sum is σ = 110741400. Its totient is φ = 22192128.

The previous prime is 49848443. The next prime is 49848473. The reversal of 49848448 is 84484894.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 3717184 = 6792^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49848443) 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, 47740 + ... + 48772.

Almost surely, 249848448 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 49848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55370700).

49848448 is an abundant number, since it is smaller than the sum of its proper divisors (60892952).

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

49848448 is a wasteful number, since it uses less digits than its factorization.

49848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 49.

The square root of 49848448 is about 7060.3433344279. The cubic root of 49848448 is about 368.0305582690.

The spelling of 49848448 in words is "forty-nine million, eight hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1033 1508 1664 1856 2066 3016 3712 4132 6032 8264 12064 13429 16528 24128 26858 29957 33056 48256 53716 59914 66112 107432 119828 132224 214864 239656 389441 429728 479312 778882 859456 958624 1557764 1718912 1917248 3115528 3834496 6231056 12462112 24924224 49848448