Search a number
-
+
202496928 = 25317127977
BaseRepresentation
bin11000001000111…
…01101110100000
3112010000220120020
430010131232200
5403314400203
632032113440
75006124024
oct1404355640
9463026506
10202496928
11a4338a37
1257995880
1332c4c98a
141cc72384
1512b9e153
hexc11dba0

202496928 has 96 divisors (see below), whose sum is σ = 567834624. Its totient is φ = 62963712.

The previous prime is 202496923. The next prime is 202496947. The reversal of 202496928 is 829694202.

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 202496928.

It is not an unprimeable number, because it can be changed into a prime (202496923) 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, 206776 + ... + 207752.

It is an arithmetic number, because the mean of its divisors is an integer number (5914944).

Almost surely, 2202496928 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 202496928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283917312).

202496928 is an abundant number, since it is smaller than the sum of its proper divisors (365337696).

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

202496928 is a wasteful number, since it uses less digits than its factorization.

202496928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 202496928 is about 14230.1415312709. The cubic root of 202496928 is about 587.2271766607.

The spelling of 202496928 in words is "two hundred two million, four hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 977 1016 1524 1632 1954 2032 2159 2931 3048 3908 4064 4318 5862 6096 6477 7816 8636 11724 12192 12954 15632 16609 17272 23448 25908 31264 33218 34544 46896 49827 51816 66436 69088 93792 99654 103632 124079 132872 199308 207264 248158 265744 372237 398616 496316 531488 744474 797232 992632 1488948 1594464 1985264 2109343 2977896 3970528 4218686 5955792 6328029 8437372 11911584 12656058 16874744 25312116 33749488 50624232 67498976 101248464 202496928