Search a number
-
+
50026656 = 25323139163
BaseRepresentation
bin1011111011010…
…1100010100000
310111010121200010
42332311202200
5100301323111
64544124520
71145135211
oct276654240
9114117603
1050026656
1126269849
1214906740
13a497594
146903408
1545d2aa6
hex2fb58a0

50026656 has 96 divisors (see below), whose sum is σ = 138862080. Its totient is φ = 15738624.

The previous prime is 50026651. The next prime is 50026657. The reversal of 50026656 is 65662005.

50026656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (50026651) 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 15 ways as a sum of consecutive naturals, for example, 306831 + ... + 306993.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 250026656 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 50026656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

50026656 is an abundant number, since it is smaller than the sum of its proper divisors (88835424).

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

50026656 is a wasteful number, since it uses less digits than its factorization.

50026656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 50026656 is about 7072.9524245537. The cubic root of 50026656 is about 368.4686059292.

The spelling of 50026656 in words is "fifty million, twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 139 163 184 276 278 326 368 417 489 552 556 652 736 834 978 1104 1112 1304 1668 1956 2208 2224 2608 3197 3336 3749 3912 4448 5216 6394 6672 7498 7824 9591 11247 12788 13344 14996 15648 19182 22494 22657 25576 29992 38364 44988 45314 51152 59984 67971 76728 89976 90628 102304 119968 135942 153456 179952 181256 271884 306912 359904 362512 521111 543768 725024 1042222 1087536 1563333 2084444 2175072 3126666 4168888 6253332 8337776 12506664 16675552 25013328 50026656