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256214484 = 223247163929
BaseRepresentation
bin11110100010110…
…00010111010100
3122212010001012100
433101120113110
51011042330414
641231322100
76230534001
oct1721302724
9585101170
10256214484
11121698809
1271980330
134110a206
14260568a8
1517760609
hexf4585d4

256214484 has 72 divisors (see below), whose sum is σ = 666207360. Its totient is φ = 82985472.

The previous prime is 256214479. The next prime is 256214509. The reversal of 256214484 is 484412652.

256214484 is a `hidden beast` number, since 2 + 562 + 14 + 4 + 84 = 666.

256214484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2562144842 = 131291723622772512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275332 + ... + 276260.

It is an arithmetic number, because the mean of its divisors is an integer number (9252880).

Almost surely, 2256214484 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 256214484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333103680).

256214484 is an abundant number, since it is smaller than the sum of its proper divisors (409992876).

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

256214484 is a wasteful number, since it uses less digits than its factorization.

256214484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 256214484 is about 16006.7012216759. The cubic root of 256214484 is about 635.1377005194.

The spelling of 256214484 in words is "two hundred fifty-six million, two hundred fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 163 188 282 326 423 489 564 652 846 929 978 1467 1692 1858 1956 2787 2934 3716 5574 5868 7661 8361 11148 15322 16722 22983 30644 33444 43663 45966 68949 87326 91932 130989 137898 151427 174652 261978 275796 302854 392967 454281 523956 605708 785934 908562 1362843 1571868 1817124 2725686 5451372 7117069 14234138 21351207 28468276 42702414 64053621 85404828 128107242 256214484