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256606452 = 223283157547
BaseRepresentation
bin11110100101110…
…00000011110100
3122212211221212200
433102320003310
51011142401302
641243544500
76234055524
oct1722700364
9585757780
10256606452
11121936253
1271b2b130
134121674b
1426119684
15177db81c
hexf4b80f4

256606452 has 72 divisors (see below), whose sum is σ = 661848096. Its totient is φ = 83813184.

The previous prime is 256606447. The next prime is 256606481. The reversal of 256606452 is 254606652.

256606452 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 0 + 645 + 2 = 666.

256606452 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 23 ways as a sum of consecutive naturals, for example, 468843 + ... + 469389.

Almost surely, 2256606452 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 256606452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330924048).

256606452 is an abundant number, since it is smaller than the sum of its proper divisors (405241644).

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

256606452 is a wasteful number, since it uses less digits than its factorization.

256606452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 256606452 is about 16018.9404143970. The cubic root of 256606452 is about 635.4614225364.

The spelling of 256606452 in words is "two hundred fifty-six million, six hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 157 166 249 314 332 471 498 547 628 747 942 996 1094 1413 1494 1641 1884 2188 2826 2988 3282 4923 5652 6564 9846 13031 19692 26062 39093 45401 52124 78186 85879 90802 117279 136203 156372 171758 181604 234558 257637 272406 343516 408609 469116 515274 544812 772911 817218 1030548 1545822 1634436 3091644 7127957 14255914 21383871 28511828 42767742 64151613 85535484 128303226 256606452