Search a number
-
+
256453452 = 2236312837
BaseRepresentation
bin11110100100100…
…10101101001100
3122212120012000000
433102102231030
51011123002302
641240404300
76232550463
oct1722225514
9585505000
10256453452
11121841302
1271a76690
1341191c08
14260b99da
15177ab31c
hexf492b4c

256453452 has 84 divisors (see below), whose sum is σ = 694833216. Its totient is φ = 82697760.

The previous prime is 256453447. The next prime is 256453481. The reversal of 256453452 is 254354652.

256453452 is a `hidden beast` number, since 2 + 5 + 645 + 3 + 4 + 5 + 2 = 666.

256453452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 27 ways as a sum of consecutive naturals, for example, 88978 + ... + 91814.

It is an arithmetic number, because the mean of its divisors is an integer number (8271824).

Almost surely, 2256453452 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 256453452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347416608).

256453452 is an abundant number, since it is smaller than the sum of its proper divisors (438379764).

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

256453452 is a wasteful number, since it uses less digits than its factorization.

256453452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2873 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 256453452 is about 16014.1641055660. The cubic root of 256453452 is about 635.3351007875.

The spelling of 256453452 in words is "two hundred fifty-six million, four hundred fifty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 729 837 972 1116 1458 1674 2511 2837 2916 3348 5022 5674 7533 8511 10044 11348 15066 17022 22599 25533 30132 34044 45198 51066 76599 87947 90396 102132 153198 175894 229797 263841 306396 351788 459594 527682 689391 791523 919188 1055364 1378782 1583046 2068173 2374569 2757564 3166092 4136346 4749138 7123707 8272692 9498276 14247414 21371121 28494828 42742242 64113363 85484484 128226726 256453452