Search a number
-
+
256102784 = 277535393
BaseRepresentation
bin11110100001111…
…01000110000000
3122211220100222022
433100331012000
51011030242114
641225101012
76226560230
oct1720750600
9584810868
10256102784
111216218a3
1271927768
134109b412
1426027cc0
151773c48e
hexf43d180

256102784 has 64 divisors (see below), whose sum is σ = 594203040. Its totient is φ = 107667456.

The previous prime is 256102757. The next prime is 256102787. The reversal of 256102784 is 487201652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256102787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44792 + ... + 50184.

Almost surely, 2256102784 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 256102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297101520).

256102784 is an abundant number, since it is smaller than the sum of its proper divisors (338100256).

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

256102784 is an equidigital number, since it uses as much as digits as its factorization.

256102784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 256102784 is about 16003.2116776602. The cubic root of 256102784 is about 635.0453882865.

The spelling of 256102784 in words is "two hundred fifty-six million, one hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5393 5936 6784 10786 11872 21572 23744 37751 43144 47488 75502 86288 151004 172576 285829 302008 345152 571658 604016 690304 1143316 1208032 2000803 2286632 2416064 4001606 4573264 4832128 8003212 9146528 16006424 18293056 32012848 36586112 64025696 128051392 256102784