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1064879424 = 263271092423
BaseRepresentation
bin111111011110001…
…100010101000000
32202012202110221200
4333132030111000
54140102120144
6253400021200
735250216510
oct7736142500
92665673850
101064879424
114a7107744
12258761800
1313c80508b
14a15d9840
1563749c69
hex3f78c540

1064879424 has 168 divisors, whose sum is σ = 3521781120. Its totient is φ = 301335552.

The previous prime is 1064879399. The next prime is 1064879471. The reversal of 1064879424 is 4249784601.

1064879424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10648794242 = 2267936375317143552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064879424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438277 + ... + 440699.

Almost surely, 21064879424 is an apocalyptic number.

1064879424 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 1064879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760890560).

1064879424 is an abundant number, since it is smaller than the sum of its proper divisors (2456901696).

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

1064879424 is a wasteful number, since it uses less digits than its factorization.

1064879424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1064879424 is about 32632.4903125704. The cubic root of 1064879424 is about 1021.1749321266.

The spelling of 1064879424 in words is "one billion, sixty-four million, eight hundred seventy-nine thousand, four hundred twenty-four".