Search a number
-
+
49721088 = 283101641
BaseRepresentation
bin1011110110101…
…0111100000000
310110120002111210
42331222330000
5100212033323
64533410120
71142423304
oct275527400
9113502453
1049721088
112608020a
1214799940
13a3bb481
146863d04
154572293
hex2f6af00

49721088 has 72 divisors (see below), whose sum is σ = 133849296. Its totient is φ = 16384000.

The previous prime is 49721083. The next prime is 49721137. The reversal of 49721088 is 88012794.

49721088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49721083) 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 7 ways as a sum of consecutive naturals, for example, 77248 + ... + 77888.

It is an arithmetic number, because the mean of its divisors is an integer number (1859018).

Almost surely, 249721088 is an apocalyptic number.

49721088 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 49721088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66924648).

49721088 is an abundant number, since it is smaller than the sum of its proper divisors (84128208).

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

49721088 is a wasteful number, since it uses less digits than its factorization.

49721088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 49721088 is about 7051.3181746394. The cubic root of 49721088 is about 367.7168584494.

The spelling of 49721088 in words is "forty-nine million, seven hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 641 768 808 1212 1282 1616 1923 2424 2564 3232 3846 4848 5128 6464 7692 9696 10256 12928 15384 19392 20512 25856 30768 38784 41024 61536 64741 77568 82048 123072 129482 164096 194223 246144 258964 388446 492288 517928 776892 1035856 1553784 2071712 3107568 4143424 6215136 8286848 12430272 16573696 24860544 49721088