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255473296 = 241329411033
BaseRepresentation
bin11110011101000…
…11011010010000
3122210201101110221
433032203122100
51010400121141
641203402424
76221326051
oct1716433220
9583641427
10255473296
11121231961
1271683414
1340c0aa40
1425d02728
1517665bd1
hexf3a3690

255473296 has 80 divisors (see below), whose sum is σ = 565432560. Its totient is φ = 110960640.

The previous prime is 255473279. The next prime is 255473299. The reversal of 255473296 is 692374552.

255473296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6969600 + 248503696 = 2640^2 + 15764^2 .

It is not an unprimeable number, because it can be changed into a prime (255473299) 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, 246796 + ... + 247828.

It is an arithmetic number, because the mean of its divisors is an integer number (7067907).

Almost surely, 2255473296 is an apocalyptic number.

255473296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255473296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282716280).

255473296 is an abundant number, since it is smaller than the sum of its proper divisors (309959264).

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

255473296 is a wasteful number, since it uses less digits than its factorization.

255473296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The square root of 255473296 is about 15983.5320251814. The cubic root of 255473296 is about 634.5246580054.

The spelling of 255473296 in words is "two hundred fifty-five million, four hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 29 41 52 58 82 104 116 164 208 232 328 377 464 533 656 754 1033 1066 1189 1508 2066 2132 2378 3016 4132 4264 4756 6032 8264 8528 9512 13429 15457 16528 19024 26858 29957 30914 42353 53716 59914 61828 84706 107432 119828 123656 169412 214864 239656 247312 338824 389441 479312 550589 677648 778882 1101178 1228237 1557764 2202356 2456474 3115528 4404712 4912948 6231056 8809424 9825896 15967081 19651792 31934162 63868324 127736648 255473296