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255403152 = 24333111901
BaseRepresentation
bin11110011100100…
…10010010010000
3122210120211021000
433032102102100
51010340400102
641202102000
76220614414
oct1716222220
9583524230
10255403152
11121194194
127164a900
1340bb4b34
1425cc4d44
151765001c
hexf392490

255403152 has 80 divisors (see below), whose sum is σ = 735845760. Its totient is φ = 84816000.

The previous prime is 255403151. The next prime is 255403163. The reversal of 255403152 is 251304552.

It is a happy number.

255403152 is a `hidden beast` number, since 255 + 403 + 1 + 5 + 2 = 666.

255403152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (255403151) 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, 133402 + ... + 135302.

It is an arithmetic number, because the mean of its divisors is an integer number (9198072).

Almost surely, 2255403152 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 255403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367922880).

255403152 is an abundant number, since it is smaller than the sum of its proper divisors (480442608).

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

255403152 is a wasteful number, since it uses less digits than its factorization.

255403152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 255403152 is about 15981.3376161071. The cubic root of 255403152 is about 634.4665799565.

The spelling of 255403152 in words is "two hundred fifty-five million, four hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 311 432 622 933 1244 1866 1901 2488 2799 3732 3802 4976 5598 5703 7464 7604 8397 11196 11406 14928 15208 16794 17109 22392 22812 30416 33588 34218 44784 45624 51327 67176 68436 91248 102654 134352 136872 205308 273744 410616 591211 821232 1182422 1773633 2364844 3547266 4729688 5320899 7094532 9459376 10641798 14189064 15962697 21283596 28378128 31925394 42567192 63850788 85134384 127701576 255403152