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1255145984 = 292984533
BaseRepresentation
bin100101011010000…
…0000001000000000
310020110210000121022
41022310000020000
510032304132414
6324314045012
743050364511
oct11264001000
93213700538
101255145984
11594551834
122b0419768
13170061c41
14bc9a6a08
15752d018e
hex4ad00200

1255145984 has 40 divisors (see below), whose sum is σ = 2594348460. Its totient is φ = 605925376.

The previous prime is 1255145981. The next prime is 1255145987. The reversal of 1255145984 is 4895415521.

It is an interprime number because it is at equal distance from previous prime (1255145981) and next prime (1255145987).

It can be written as a sum of positive squares in 2 ways, for example, as 1202147584 + 52998400 = 34672^2 + 7280^2 .

It is not an unprimeable number, because it can be changed into a prime (1255145981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27419 + ... + 57114.

Almost surely, 21255145984 is an apocalyptic number.

It is an amenable number.

1255145984 is an abundant number, since it is smaller than the sum of its proper divisors (1339202476).

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

1255145984 is an frugal number, since it uses more digits than its factorization.

1255145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84580 (or 84564 counting only the distinct ones).

The product of its digits is 288000, while the sum is 44.

The square root of 1255145984 is about 35428.0395167444. The cubic root of 1255145984 is about 1078.6935459895.

The spelling of 1255145984 in words is "one billion, two hundred fifty-five million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 84533 169066 338132 676264 1352528 2451457 2705056 4902914 5410112 9805828 10820224 19611656 21640448 39223312 43280896 78446624 156893248 313786496 627572992 1255145984