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49615668 = 2232371932
BaseRepresentation
bin1011110101000…
…1001100110100
310110100201220100
42331101030310
5100200200133
64531234100
71141504044
oct275211464
9113321810
1049615668
1126008a93
1214748930
13a3824ab
146837724
154550e13
hex2f51334

49615668 has 54 divisors (see below), whose sum is σ = 129477894. Its totient is φ = 16008192.

The previous prime is 49615661. The next prime is 49615681. The reversal of 49615668 is 86651694.

49615668 is a `hidden beast` number, since 496 + 156 + 6 + 8 = 666.

49615668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5817744 + 43797924 = 2412^2 + 6618^2 .

It is a super-2 number, since 2×496156682 = 4923429022172448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49615661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 256980 + ... + 257172.

Almost surely, 249615668 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 49615668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64738947).

49615668 is an abundant number, since it is smaller than the sum of its proper divisors (79862226).

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

49615668 is a wasteful number, since it uses less digits than its factorization.

49615668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 235 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 49615668 is about 7043.8390100853. The cubic root of 49615668 is about 367.4567934766.

The spelling of 49615668 in words is "forty-nine million, six hundred fifteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 193 222 333 386 444 579 666 772 1158 1332 1737 2316 3474 6948 7141 14282 21423 28564 37249 42846 64269 74498 85692 111747 128538 148996 223494 257076 335241 446988 670482 1340964 1378213 2756426 4134639 5512852 8269278 12403917 16538556 24807834 49615668