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49191296 = 2772112331
BaseRepresentation
bin1011101110100…
…1100110000000
310102120011202212
42323221212000
5100043110141
64514201252
71135055600
oct273514600
9112504685
1049191296
1125849170
1214583228
13a26429b
146766c00
1544ba2eb
hex2ee9980

49191296 has 192 divisors, whose sum is σ = 133954560. Its totient is φ = 17740800.

The previous prime is 49191283. The next prime is 49191299. The reversal of 49191296 is 69219194.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49191299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586801 + ... + 1586831.

It is an arithmetic number, because the mean of its divisors is an integer number (697680).

Almost surely, 249191296 is an apocalyptic number.

49191296 is a gapful number since it is divisible by the number (46) 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 49191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977280).

49191296 is an abundant number, since it is smaller than the sum of its proper divisors (84763264).

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

49191296 is a wasteful number, since it uses less digits than its factorization.

49191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its digits is 34992, while the sum is 41.

The square root of 49191296 is about 7013.6506899047. The cubic root of 49191296 is about 366.4061503007.

The spelling of 49191296 in words is "forty-nine million, one hundred ninety-one thousand, two hundred ninety-six".