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49392768 = 273293439
BaseRepresentation
bin1011110001101…
…0110010000000
310102221102010210
42330122302000
5100121032033
64522354120
71136555145
oct274326200
9112842123
1049392768
1125976577
121465b940
13a304bb9
1467ba3cc
154509d63
hex2f1ac80

49392768 has 64 divisors (see below), whose sum is σ = 131947200. Its totient is φ = 16370688.

The previous prime is 49392757. The next prime is 49392773. The reversal of 49392768 is 86729394.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 112293 + ... + 112731.

It is an arithmetic number, because the mean of its divisors is an integer number (2061675).

Almost surely, 249392768 is an apocalyptic number.

49392768 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 49392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973600).

49392768 is an abundant number, since it is smaller than the sum of its proper divisors (82554432).

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

49392768 is a wasteful number, since it uses less digits than its factorization.

49392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 737 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 49392768 is about 7027.9988616960. The cubic root of 49392768 is about 366.9056968511.

It can be divided in two parts, 49392 and 768, that multiplied together give a cube (37933056 = 3363).

The spelling of 49392768 in words is "forty-nine million, three hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 293 384 439 586 878 879 1172 1317 1756 1758 2344 2634 3512 3516 4688 5268 7024 7032 9376 10536 14048 14064 18752 21072 28096 28128 37504 42144 56192 56256 84288 112512 128627 168576 257254 385881 514508 771762 1029016 1543524 2058032 3087048 4116064 6174096 8232128 12348192 16464256 24696384 49392768