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1435424440 = 235532392833
BaseRepresentation
bin101010110001110…
…1101011010111000
310201001000010011011
41111203231122320
510414432040230
6354234043304
750366622622
oct12543553270
93631003134
101435424440
1167729469a
12340879534
1319b502798
14d88d3c12
1586040e2a
hex558ed6b8

1435424440 has 64 divisors (see below), whose sum is σ = 3305577600. Its totient is φ = 560781312.

The previous prime is 1435424363. The next prime is 1435424453. The reversal of 1435424440 is 444245341.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505264 + ... + 508096.

It is an arithmetic number, because the mean of its divisors is an integer number (51649650).

Almost surely, 21435424440 is an apocalyptic number.

1435424440 is a gapful number since it is divisible by the number (10) 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 1435424440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652788800).

1435424440 is an abundant number, since it is smaller than the sum of its proper divisors (1870153160).

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

1435424440 is a wasteful number, since it uses less digits than its factorization.

1435424440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 1435424440 is about 37886.9956581411. The cubic root of 1435424440 is about 1128.0459192782.

Adding to 1435424440 its reverse (444245341), we get a palindrome (1879669781).

The spelling of 1435424440 in words is "one billion, four hundred thirty-five million, four hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 239 265 424 478 530 956 1060 1195 1912 2120 2390 2833 4780 5666 9560 11332 12667 14165 22664 25334 28330 50668 56660 63335 101336 113320 126670 150149 253340 300298 506680 600596 677087 750745 1201192 1354174 1501490 2708348 3002980 3385435 5416696 6005960 6770870 13541740 27083480 35885611 71771222 143542444 179428055 287084888 358856110 717712220 1435424440