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49568064 = 2637132837
BaseRepresentation
bin1011110100010…
…1100101000000
310110021022121020
42331011211000
5100142134224
64530225440
71141215210
oct275054500
9113238536
1049568064
1125a86247
1214725280
13a366920
146824240
154541c79
hex2f45940

49568064 has 112 divisors (see below), whose sum is σ = 161470848. Its totient is φ = 13068288.

The previous prime is 49568063. The next prime is 49568069. The reversal of 49568064 is 46086594.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49568063) 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 15 ways as a sum of consecutive naturals, for example, 16054 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (1441704).

Almost surely, 249568064 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 49568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80735424).

49568064 is an abundant number, since it is smaller than the sum of its proper divisors (111902784).

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

49568064 is a wasteful number, since it uses less digits than its factorization.

49568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 49568064 is about 7040.4590759410. The cubic root of 49568064 is about 367.3392364543.

The spelling of 49568064 in words is "forty-nine million, five hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2837 2912 4368 5674 5824 8511 8736 11348 17022 17472 19859 22696 34044 36881 39718 45392 59577 68088 73762 79436 90784 110643 119154 136176 147524 158872 181568 221286 238308 258167 272352 295048 317744 442572 476616 516334 544704 590096 635488 774501 885144 953232 1032668 1180192 1270976 1549002 1770288 1906464 2065336 2360384 3098004 3540576 3812928 4130672 6196008 7081152 8261344 12392016 16522688 24784032 49568064