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1157442048 = 29367443
BaseRepresentation
bin100010011111101…
…0010101000000000
32222122221011000000
41010333102220000
54332301121143
6310504000000
740453044420
oct10477225000
92878834000
101157442048
11544389384
12283760000
13155a43569
14ada12480
156b930bd3
hex44fd2a00

1157442048 has 280 divisors, whose sum is σ = 3971629728. Its totient is φ = 329951232.

The previous prime is 1157442043. The next prime is 1157442053. The reversal of 1157442048 is 8402447511.

It is a happy number.

1157442048 is a `hidden beast` number, since 1 + 1 + 574 + 42 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1157442043) and next prime (1157442053).

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

It is not an unprimeable number, because it can be changed into a prime (1157442043) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612515 + ... + 2612957.

Almost surely, 21157442048 is an apocalyptic number.

1157442048 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 1157442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985814864).

1157442048 is an abundant number, since it is smaller than the sum of its proper divisors (2814187680).

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

1157442048 is an frugal number, since it uses more digits than its factorization.

1157442048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1157442048 is about 34021.1999788367. The cubic root of 1157442048 is about 1049.9446828001.

Adding to 1157442048 its reverse (8402447511), we get a palindrome (9559889559).

The spelling of 1157442048 in words is "one billion, one hundred fifty-seven million, four hundred forty-two thousand, forty-eight".