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1093042944 = 28337192941
BaseRepresentation
bin100000100100110…
…1000001100000000
32211011202100001000
41001021220030000
54214304333234
6300243412000
736041466060
oct10111501400
92734670030
101093042944
11510aa3384
12266084000
131455b6196
14a524b3a0
1565e5e899
hex41268300

1093042944 has 576 divisors, whose sum is σ = 4120704000. Its totient is φ = 278691840.

The previous prime is 1093042939. The next prime is 1093042969. The reversal of 1093042944 is 4492403901.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1093042899 and 1093042908.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26659564 + ... + 26659604.

It is an arithmetic number, because the mean of its divisors is an integer number (7154000).

Almost surely, 21093042944 is an apocalyptic number.

1093042944 is a gapful number since it is divisible by the number (14) 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 1093042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060352000).

1093042944 is an abundant number, since it is smaller than the sum of its proper divisors (3027661056).

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

1093042944 is a wasteful number, since it uses less digits than its factorization.

1093042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1093042944 is about 33061.1999782222. The cubic root of 1093042944 is about 1030.0992596082.

The spelling of 1093042944 in words is "one billion, ninety-three million, forty-two thousand, nine hundred forty-four".