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1855049040 = 243451319261
BaseRepresentation
bin110111010010001…
…1100110101010000
311210021121020220000
41232210130311100
512244343032130
6504024050000
763653441145
oct15644346520
94707536800
101855049040
11872143889
12439303900
13237425670
141385263cc
15accce260
hex6e91cd50

1855049040 has 600 divisors, whose sum is σ = 7442914248. Its totient is φ = 425502720.

The previous prime is 1855049023. The next prime is 1855049051. The reversal of 1855049040 is 409405581.

1855049040 is a `hidden beast` number, since 1 + 85 + 50 + 490 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56610576 + 1798438464 = 7524^2 + 42408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1855048986 and 1855049004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30410610 + ... + 30410670.

Almost surely, 21855049040 is an apocalyptic number.

1855049040 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 1855049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721457124).

1855049040 is an abundant number, since it is smaller than the sum of its proper divisors (5587865208).

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

1855049040 is a wasteful number, since it uses less digits than its factorization.

1855049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1855049040 is about 43070.2802405557. The cubic root of 1855049040 is about 1228.7168057384.

The spelling of 1855049040 in words is "one billion, eight hundred fifty-five million, forty-nine thousand, forty".