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1435285056 = 26337281719
BaseRepresentation
bin101010110001100…
…1011011001000000
310201000202000221210
41111203023121000
510414413110211
6354231050120
750365502352
oct12543133100
93630660853
101435285056
116771a99a7
12340810940
1319b4841ca
14d88990d2
15860149a6
hex558cb640

1435285056 has 112 divisors (see below), whose sum is σ = 3919484160. Its totient is φ = 463196160.

The previous prime is 1435285037. The next prime is 1435285057. The reversal of 1435285056 is 6505825341.

It is not an unprimeable number, because it can be changed into a prime (1435285057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995865 + ... + 1996583.

Almost surely, 21435285056 is an apocalyptic number.

1435285056 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 1435285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959742080).

1435285056 is an abundant number, since it is smaller than the sum of its proper divisors (2484199104).

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

1435285056 is a wasteful number, since it uses less digits than its factorization.

1435285056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 1435285056 is about 37885.1561432707. The cubic root of 1435285056 is about 1128.0094058871.

The spelling of 1435285056 in words is "one billion, four hundred thirty-five million, two hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 281 296 444 562 592 719 843 888 1124 1184 1438 1686 1776 2157 2248 2368 2876 3372 3552 4314 4496 5752 6744 7104 8628 8992 10397 11504 13488 17256 17984 20794 23008 26603 26976 31191 34512 41588 46016 53206 53952 62382 69024 79809 83176 106412 124764 138048 159618 166352 202039 212824 249528 319236 332704 404078 425648 499056 606117 638472 665408 808156 851296 998112 1212234 1276944 1616312 1702592 1996224 2424468 2553888 3232624 4848936 5107776 6465248 7475443 9697872 12930496 14950886 19395744 22426329 29901772 38791488 44852658 59803544 89705316 119607088 179410632 239214176 358821264 478428352 717642528 1435285056