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49807368 = 233213127419
BaseRepresentation
bin1011111000000…
…0000000001000
310110201110212100
42332000000020
5100222313433
64535313400
71143232662
oct276000010
9113643770
1049807368
112612a016
121481b860
13a41b820
146887532
15458cb13
hex2f80008

49807368 has 96 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 15168384.

The previous prime is 49807327. The next prime is 49807369. The reversal of 49807368 is 86370894.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49807369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118663 + ... + 119081.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 249807368 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 49807368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

49807368 is an abundant number, since it is smaller than the sum of its proper divisors (96957432).

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

49807368 is a wasteful number, since it uses less digits than its factorization.

49807368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 49807368 is about 7057.4335278485. The cubic root of 49807368 is about 367.9294327513.

The spelling of 49807368 in words is "forty-nine million, eight hundred seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 312 381 419 468 508 762 838 936 1016 1143 1257 1524 1651 1676 2286 2514 3048 3302 3352 3771 4572 4953 5028 5447 6604 7542 9144 9906 10056 10894 13208 14859 15084 16341 19812 21788 29718 30168 32682 39624 43576 49023 53213 59436 65364 98046 106426 118872 130728 159639 196092 212852 319278 392184 425704 478917 638556 691769 957834 1277112 1383538 1915668 2075307 2767076 3831336 4150614 5534152 6225921 8301228 12451842 16602456 24903684 49807368