Search a number
-
+
5734314528 = 253316728759
BaseRepresentation
bin1010101011100101…
…01011001000100000
3112210122010100201120
411111302223020200
543220441031103
62345002132240
7262046604105
oct52562531040
915718110646
105734314528
112482964418
1211404b1080
13705023a27
143c580caac
15238656253
hex155cab220

5734314528 has 96 divisors (see below), whose sum is σ = 15770603520. Its totient is φ = 1822106880.

The previous prime is 5734314527. The next prime is 5734314533. The reversal of 5734314528 is 8254134375.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 5734314528.

It is not an unprimeable number, because it can be changed into a prime (5734314527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185013 + ... + 213771.

It is an arithmetic number, because the mean of its divisors is an integer number (164277120).

Almost surely, 25734314528 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 5734314528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885301760).

5734314528 is an abundant number, since it is smaller than the sum of its proper divisors (10036288992).

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

5734314528 is a wasteful number, since it uses less digits than its factorization.

5734314528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28870 (or 28862 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 5734314528 is about 75725.2568698185. The cubic root of 5734314528 is about 1789.8934143748.

The spelling of 5734314528 in words is "five billion, seven hundred thirty-four million, three hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 67 93 96 124 134 186 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 2077 2144 2976 3216 4154 6231 6432 8308 12462 16616 24924 28759 33232 49848 57518 66464 86277 99696 115036 172554 199392 230072 345108 460144 690216 891529 920288 1380432 1783058 1926853 2674587 2760864 3566116 3853706 5349174 5780559 7132232 7707412 10698348 11561118 14264464 15414824 21396696 23122236 28528928 30829648 42793392 46244472 59732443 61659296 85586784 92488944 119464886 179197329 184977888 238929772 358394658 477859544 716789316 955719088 1433578632 1911438176 2867157264 5734314528