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1828886040 = 23365193301
BaseRepresentation
bin110110100000010…
…1001011000011000
311201110101001000000
41231000221120120
512221143323130
6501251213000
763215163162
oct15500513030
94643331000
101828886040
118593a4173
124305a7160
13231b94cb7
14134c75932
15aa862260
hex6d029618

1828886040 has 224 divisors, whose sum is σ = 6496354800. Its totient is φ = 461894400.

The previous prime is 1828885943. The next prime is 1828886041. The reversal of 1828886040 is 406888281.

It is a happy number.

1828886040 is a `hidden beast` number, since 18 + 28 + 8 + 8 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828886041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 552390 + ... + 555690.

Almost surely, 21828886040 is an apocalyptic number.

1828886040 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 1828886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248177400).

1828886040 is an abundant number, since it is smaller than the sum of its proper divisors (4667468760).

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

1828886040 is a wasteful number, since it uses less digits than its factorization.

1828886040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1828886040 is about 42765.4771983197. The cubic root of 1828886040 is about 1222.9129622202.

The spelling of 1828886040 in words is "one billion, eight hundred twenty-eight million, eight hundred eighty-six thousand, forty".