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255949152 = 25319236101
BaseRepresentation
bin11110100000101…
…11100101100000
3122211121120020020
433100113211200
51011010333102
641221513440
76225350304
oct1720274540
9584546206
10255949152
11121527428
1271872880
1341046504
1425dc7d04
151770bbbc
hexf417960

255949152 has 96 divisors (see below), whose sum is σ = 738097920. Its totient is φ = 77299200.

The previous prime is 255949151. The next prime is 255949153. The reversal of 255949152 is 251949552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (255949151) and next prime (255949153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255949151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38902 + ... + 45002.

It is an arithmetic number, because the mean of its divisors is an integer number (7688520).

Almost surely, 2255949152 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 255949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369048960).

255949152 is an abundant number, since it is smaller than the sum of its proper divisors (482148768).

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

255949152 is a wasteful number, since it uses less digits than its factorization.

255949152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6148 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 255949152 is about 15998.4109210884. The cubic root of 255949152 is about 634.9183783324.

The spelling of 255949152 in words is "two hundred fifty-five million, nine hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 608 736 874 912 1104 1311 1748 1824 2208 2622 3496 5244 6101 6992 10488 12202 13984 18303 20976 24404 36606 41952 48808 73212 97616 115919 140323 146424 195232 231838 280646 292848 347757 420969 463676 561292 585696 695514 841938 927352 1122584 1391028 1683876 1854704 2245168 2666137 2782056 3367752 3709408 4490336 5332274 5564112 6735504 7998411 10664548 11128224 13471008 15996822 21329096 31993644 42658192 63987288 85316384 127974576 255949152