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5435440000 = 275467943
BaseRepresentation
bin1010000111111101…
…00011101110000000
3112000210201221221121
411003332203232000
542112433040000
62255204202024
7251460322564
oct50376435600
915023657847
105435440000
11233a189581
121078399314
1368812b2b3
14397c4d6a4
1521c2bab1a
hex143fa3b80

5435440000 has 80 divisors (see below), whose sum is σ = 13531387320. Its totient is φ = 2174144000.

The previous prime is 5435439949. The next prime is 5435440019. The reversal of 5435440000 is 445345.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46029 + ... + 113971.

Almost surely, 25435440000 is an apocalyptic number.

5435440000 is a gapful number since it is divisible by the number (50) 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 5435440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6765693660).

5435440000 is an abundant number, since it is smaller than the sum of its proper divisors (8095947320).

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

5435440000 is an frugal number, since it uses more digits than its factorization.

5435440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67977 (or 67950 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5435440000 is about 73725.4365873814. The cubic root of 5435440000 is about 1758.2403211183.

Adding to 5435440000 its reverse (445345), we get a palindrome (5435885345).

The spelling of 5435440000 in words is "five billion, four hundred thirty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 67943 80000 135886 271772 339715 543544 679430 1087088 1358860 1698575 2174176 2717720 3397150 4348352 5435440 6794300 8492875 8696704 10870880 13588600 16985750 21741760 27177200 33971500 42464375 43483520 54354400 67943000 84928750 108708800 135886000 169857500 217417600 271772000 339715000 543544000 679430000 1087088000 1358860000 2717720000 5435440000