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1902985440 = 2535171012309
BaseRepresentation
bin111000101101101…
…0100000011100000
311220121210200021020
41301123110003200
512344131013230
6512455325440
765105052336
oct16133240340
94817720236
101902985440
11897205144
12451380880
1324433a6b5
14140a43b56
15b20ec810
hex716d40e0

1902985440 has 192 divisors, whose sum is σ = 6412633920. Its totient is φ = 472678400.

The previous prime is 1902985433. The next prime is 1902985453. The reversal of 1902985440 is 445892091.

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 = 1902985392 and 1902985401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 823006 + ... + 825314.

It is an arithmetic number, because the mean of its divisors is an integer number (33399135).

Almost surely, 21902985440 is an apocalyptic number.

1902985440 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 1902985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206316960).

1902985440 is an abundant number, since it is smaller than the sum of its proper divisors (4509648480).

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

1902985440 is a wasteful number, since it uses less digits than its factorization.

1902985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1902985440 is about 43623.2213390987. The cubic root of 1902985440 is about 1239.2107013007.

The spelling of 1902985440 in words is "one billion, nine hundred two million, nine hundred eighty-five thousand, four hundred forty".