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256474632 = 233531631237
BaseRepresentation
bin11110100100101…
…11111000001000
3122212121021001110
433102113320020
51011124142012
641241050320
76232666311
oct1722277010
9585537043
10256474632
11121856207
1271a869a0
134119b74b
14260c3608
15177b273c
hexf497e08

256474632 has 64 divisors (see below), whose sum is σ = 657823680. Its totient is φ = 83296512.

The previous prime is 256474619. The next prime is 256474657. The reversal of 256474632 is 236474652.

256474632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206718 + ... + 207954.

It is an arithmetic number, because the mean of its divisors is an integer number (10278495).

Almost surely, 2256474632 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 256474632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328911840).

256474632 is an abundant number, since it is smaller than the sum of its proper divisors (401349048).

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

256474632 is a wasteful number, since it uses less digits than its factorization.

256474632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1458 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 256474632 is about 16014.8253815020. The cubic root of 256474632 is about 635.3525906762.

The spelling of 256474632 in words is "two hundred fifty-six million, four hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 163 212 318 326 424 489 636 652 978 1237 1272 1304 1956 2474 3711 3912 4948 7422 8639 9896 14844 17278 25917 29688 34556 51834 65561 69112 103668 131122 196683 201631 207336 262244 393366 403262 524488 604893 786732 806524 1209786 1573464 1613048 2419572 4839144 10686443 21372886 32059329 42745772 64118658 85491544 128237316 256474632