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1164463424 = 26532111627
BaseRepresentation
bin100010101101000…
…0100110101000000
310000011010212111222
41011122010311000
54341100312144
6311314254212
740566530045
oct10532046500
93004125458
101164463424
11548344673
12285b87368
13157331417
14b091d1cc
156c36b2ee
hex45684d40

1164463424 has 56 divisors (see below), whose sum is σ = 2366942688. Its totient is φ = 568189440.

The previous prime is 1164463409. The next prime is 1164463429. The reversal of 1164463424 is 4243644611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164463429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714899 + ... + 716525.

Almost surely, 21164463424 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 1164463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183471344).

1164463424 is an abundant number, since it is smaller than the sum of its proper divisors (1202479264).

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

1164463424 is a wasteful number, since it uses less digits than its factorization.

1164463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1893 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 1164463424 is about 34124.2351416116. The cubic root of 1164463424 is about 1052.0634928210.

The spelling of 1164463424 in words is "one billion, one hundred sixty-four million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 211 212 422 424 844 848 1627 1688 1696 3254 3376 3392 6508 6752 11183 13016 13504 22366 26032 44732 52064 86231 89464 104128 172462 178928 343297 344924 357856 686594 689848 715712 1373188 1379696 2746376 2759392 5492752 5518784 10985504 18194741 21971008 36389482 72778964 145557928 291115856 582231712 1164463424