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1312256448 = 263214231601
BaseRepresentation
bin100111000110111…
…0111000111000000
310101110020112102200
41032031313013000
510141414201243
6334114113200
744342665356
oct11615670700
93343215380
101312256448
11613809768
1230757b800
1317bb39909
14c63d17d6
157a311ad3
hex4e3771c0

1312256448 has 84 divisors (see below), whose sum is σ = 3766340448. Its totient is φ = 436838400.

The previous prime is 1312256419. The next prime is 1312256483. The reversal of 1312256448 is 8446522131.

It is a happy number.

1312256448 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 5 + 644 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818848 + ... + 820448.

Almost surely, 21312256448 is an apocalyptic number.

1312256448 is a gapful number since it is divisible by the number (18) 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 1312256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883170224).

1312256448 is an abundant number, since it is smaller than the sum of its proper divisors (2454084000).

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

1312256448 is a wasteful number, since it uses less digits than its factorization.

1312256448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3029 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1312256448 is about 36225.0803725816. The cubic root of 1312256448 is about 1094.8120575670.

Adding to 1312256448 its reverse (8446522131), we get a palindrome (9758778579).

It can be divided in two parts, 13122 and 56448, that multiplied together give a square (740710656 = 272162).

The spelling of 1312256448 in words is "one billion, three hundred twelve million, two hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1423 1601 2846 3202 4269 4803 5692 6404 8538 9606 11384 12807 12808 14409 17076 19212 22768 25614 25616 28818 34152 38424 45536 51228 51232 57636 68304 76848 91072 102456 102464 115272 136608 153696 204912 230544 273216 307392 409824 461088 819648 922176 2278223 4556446 6834669 9112892 13669338 18225784 20504007 27338676 36451568 41008014 54677352 72903136 82016028 109354704 145806272 164032056 218709408 328064112 437418816 656128224 1312256448