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1159249344 = 26311732103
BaseRepresentation
bin100010100011000…
…1011110111000000
32222210022222010220
41011012023313000
54333231434334
6311010423040
740504312461
oct10506136700
92883288126
101159249344
11545403210
12284291a80
13156227076
14add62d68
156bb8b449
hex4518bdc0

1159249344 has 168 divisors, whose sum is σ = 3425415552. Its totient is φ = 343111680.

The previous prime is 1159249321. The next prime is 1159249349. The reversal of 1159249344 is 4439429511.

Its product of digits (155520) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1159249296 and 1159249305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159249349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11254797 + ... + 11254899.

Almost surely, 21159249344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1159249344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712707776).

1159249344 is an abundant number, since it is smaller than the sum of its proper divisors (2266166208).

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

1159249344 is a wasteful number, since it uses less digits than its factorization.

1159249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 192 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 1159249344 is about 34047.7509389387. The cubic root of 1159249344 is about 1050.4908797728.

The spelling of 1159249344 in words is "one billion, one hundred fifty-nine million, two hundred forty-nine thousand, three hundred forty-four".