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1150890048 = 263272112337
BaseRepresentation
bin100010010011001…
…0011000001000000
32222012121021100100
41010212103001000
54324111440143
6310111322400
740343255400
oct10446230100
92865537310
101150890048
11540713800
12281520400
1315458b239
14acbc8800
156b0896d3
hex44993040

1150890048 has 378 divisors, whose sum is σ = 4230486078. Its totient is φ = 298045440.

The previous prime is 1150890023. The next prime is 1150890053. The reversal of 1150890048 is 8400980511.

It can be written as a sum of positive squares in only one way, i.e., 874266624 + 276623424 = 29568^2 + 16632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1150889994 and 1150890021.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3414936 + ... + 3415272.

Almost surely, 21150890048 is an apocalyptic number.

1150890048 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 1150890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115243039).

1150890048 is an abundant number, since it is smaller than the sum of its proper divisors (3079596030).

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

1150890048 is a wasteful number, since it uses less digits than its factorization.

1150890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1150890048 is about 33924.7704192674. The cubic root of 1150890048 is about 1047.9597715848.

It can be divided in two parts, 1150 and 890048, that added together give a palindrome (891198).

The spelling of 1150890048 in words is "one billion, one hundred fifty million, eight hundred ninety thousand, forty-eight".