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256605552 = 24327241887
BaseRepresentation
bin11110100101101…
…11110101110000
3122212211220122100
433102313311300
51011142334202
641243540400
76234053100
oct1722676560
9585756570
10256605552
11121935605
1271b2a700
1341216208
1426119200
15177db41c
hexf4b7d70

256605552 has 180 divisors, whose sum is σ = 856726416. Its totient is φ = 71447040.

The previous prime is 256605533. The next prime is 256605563. The reversal of 256605552 is 255506652.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288853 + ... + 289739.

Almost surely, 2256605552 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 256605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428363208).

256605552 is an abundant number, since it is smaller than the sum of its proper divisors (600120864).

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

256605552 is a wasteful number, since it uses less digits than its factorization.

256605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 256605552 is about 16018.9123226267. The cubic root of 256605552 is about 635.4606796142.

The spelling of 256605552 in words is "two hundred fifty-six million, six hundred five thousand, five hundred fifty-two".