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1438429056 = 27326314243
BaseRepresentation
bin101010110111100…
…1010111110000000
310201020122202201020
41111233022332000
510421214212211
6354422305440
750434305501
oct12557127600
93636582636
101438429056
11678a57049
12341888280
1319c01526c
14d9076ba8
1586436306
hex55bcaf80

1438429056 has 64 divisors (see below), whose sum is σ = 3835624320. Its totient is φ = 477619712.

The previous prime is 1438429033. The next prime is 1438429081. The reversal of 1438429056 is 6509248341.

1438429056 is digitally balanced in base 4, 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 (64).

It is a super-2 number, since 2×14384290562 = 4138156298290102272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1438428999 and 1438429017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93871 + ... + 108113.

It is an arithmetic number, because the mean of its divisors is an integer number (59931630).

Almost surely, 21438429056 is an apocalyptic number.

1438429056 is a gapful number since it is divisible by the number (16) 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 1438429056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917812160).

1438429056 is an abundant number, since it is smaller than the sum of its proper divisors (2397195264).

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

1438429056 is a wasteful number, since it uses less digits than its factorization.

1438429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14523 (or 14511 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 1438429056 is about 37926.6272689782. The cubic root of 1438429056 is about 1128.8324422099.

The spelling of 1438429056 in words is "one billion, four hundred thirty-eight million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 263 384 526 789 1052 1578 2104 3156 4208 6312 8416 12624 14243 16832 25248 28486 33664 42729 50496 56972 85458 100992 113944 170916 227888 341832 455776 683664 911552 1367328 1823104 2734656 3745909 5469312 7491818 11237727 14983636 22475454 29967272 44950908 59934544 89901816 119869088 179803632 239738176 359607264 479476352 719214528 1438429056