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1255256432 = 241911336541
BaseRepresentation
bin100101011010001…
…1011000101110000
310020110222122002222
41022310123011300
510032321201212
6324320300212
743051334513
oct11264330560
93213878088
101255256432
11594617811
122b0471668
131700a02b1
14bc9d4d7a
1575302c72
hex4ad1b170

1255256432 has 40 divisors (see below), whose sum is σ = 2582788560. Its totient is φ = 589317120.

The previous prime is 1255256423. The next prime is 1255256437. The reversal of 1255256432 is 2346525521.

It is a junction number, because it is equal to n+sod(n) for n = 1255256392 and 1255256401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255256437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16082 + ... + 52622.

It is an arithmetic number, because the mean of its divisors is an integer number (64569714).

Almost surely, 21255256432 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 1255256432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291394280).

1255256432 is an abundant number, since it is smaller than the sum of its proper divisors (1327532128).

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

1255256432 is a wasteful number, since it uses less digits than its factorization.

1255256432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36681 (or 36675 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The square root of 1255256432 is about 35429.5982477928. The cubic root of 1255256432 is about 1078.7251853504.

The spelling of 1255256432 in words is "one billion, two hundred fifty-five million, two hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1808 2147 4294 8588 17176 34352 36541 73082 146164 292328 584656 694279 1388558 2777116 4129133 5554232 8258266 11108464 16516532 33033064 66066128 78453527 156907054 313814108 627628216 1255256432