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255742944 = 2537336493
BaseRepresentation
bin11110011111001…
…01001111100000
3122211020002100220
433033211033200
51010432233234
641213243040
76223531152
oct1717451740
9584202326
10255742944
111213a6506
1271793480
1340ca36b2
1425d72ad2
15176baa49
hexf3e53e0

255742944 has 48 divisors (see below), whose sum is σ = 680540112. Its totient is φ = 84077568.

The previous prime is 255742943. The next prime is 255742961. The reversal of 255742944 is 449247552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 255742896 and 255742905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255742943) 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, 11239 + ... + 25254.

It is an arithmetic number, because the mean of its divisors is an integer number (14177919).

Almost surely, 2255742944 is an apocalyptic number.

255742944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255742944 is an abundant number, since it is smaller than the sum of its proper divisors (424797168).

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

255742944 is a wasteful number, since it uses less digits than its factorization.

255742944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36579 (or 36571 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 255742944 is about 15991.9649824529. The cubic root of 255742944 is about 634.7478230690.

It can be divided in two parts, 255742 and 944, that added together give a triangular number (256686 = T716).

The spelling of 255742944 in words is "two hundred fifty-five million, seven hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 36493 72986 109479 145972 218958 291944 437916 583888 875832 1167776 1751664 2663989 3503328 5327978 7991967 10655956 15983934 21311912 31967868 42623824 63935736 85247648 127871472 255742944