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256472370 = 2325721117311
BaseRepresentation
bin11110100100101…
…11010100110010
3122212121010221200
433102113110302
51011124103440
641241032030
76232656600
oct1722272462
9585533850
10256472370
11121854540
1271a85616
134119a6cb
14260c2870
15177b1c30
hexf497532

256472370 has 288 divisors, whose sum is σ = 898874496. Its totient is φ = 49996800.

The previous prime is 256472329. The next prime is 256472389. The reversal of 256472370 is 73274652.

It is a happy number.

256472370 is a `hidden beast` number, since 2 + 5 + 647 + 2 + 3 + 7 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 824515 + ... + 824825.

It is an arithmetic number, because the mean of its divisors is an integer number (3121092).

Almost surely, 2256472370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256472370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449437248).

256472370 is an abundant number, since it is smaller than the sum of its proper divisors (642402126).

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

256472370 is a wasteful number, since it uses less digits than its factorization.

256472370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 256472370 is about 16014.7547592837. The cubic root of 256472370 is about 635.3507228218.

The spelling of 256472370 in words is "two hundred fifty-six million, four hundred seventy-two thousand, three hundred seventy".