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49978368 = 21032111729
BaseRepresentation
bin1011111010100…
…1110000000000
310111001011102200
42332221300000
5100243301433
64543113200
71144544346
oct276516000
9114034380
1049978368
1126236540
12148a2800
13a47b5cb
1468cd996
1545c3613
hex2fa9c00

49978368 has 264 divisors, whose sum is σ = 172439280. Its totient is φ = 13762560.

The previous prime is 49978361. The next prime is 49978387. The reversal of 49978368 is 86387994.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49978361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723378 + ... + 1723406.

Almost surely, 249978368 is an apocalyptic number.

49978368 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 49978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86219640).

49978368 is an abundant number, since it is smaller than the sum of its proper divisors (122460912).

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

49978368 is a wasteful number, since it uses less digits than its factorization.

49978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 49978368 is about 7069.5380329976. The cubic root of 49978368 is about 368.3500135541.

The spelling of 49978368 in words is "forty-nine million, nine hundred seventy-eight thousand, three hundred sixty-eight".