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256376040 = 23354314957
BaseRepresentation
bin11110100011111…
…11110011101000
3122212102020210220
433101333303220
51011113013130
641235010040
76232106004
oct1721776350
9585366726
10256376040
11121799128
1271a39920
13411658cb
1426099704
1517793410
hexf47fce8

256376040 has 64 divisors (see below), whose sum is σ = 771068160. Its totient is φ = 68194560.

The previous prime is 256375967. The next prime is 256376047. The reversal of 256376040 is 40673652.

It is a junction number, because it is equal to n+sod(n) for n = 256375992 and 256376010.

It is not an unprimeable number, because it can be changed into a prime (256376047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49242 + ... + 54198.

It is an arithmetic number, because the mean of its divisors is an integer number (12047940).

Almost surely, 2256376040 is an apocalyptic number.

256376040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256376040 is an abundant number, since it is smaller than the sum of its proper divisors (514692120).

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

256376040 is a wasteful number, since it uses less digits than its factorization.

256376040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5402 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 256376040 is about 16011.7469377954. The cubic root of 256376040 is about 635.2711677944.

The spelling of 256376040 in words is "two hundred fifty-six million, three hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 431 862 1293 1724 2155 2586 3448 4310 4957 5172 6465 8620 9914 10344 12930 14871 17240 19828 24785 25860 29742 39656 49570 51720 59484 74355 99140 118968 148710 198280 297420 594840 2136467 4272934 6409401 8545868 10682335 12818802 17091736 21364670 25637604 32047005 42729340 51275208 64094010 85458680 128188020 256376040