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1049117940 = 22335131759149
BaseRepresentation
bin111110100010000…
…100010011110100
32201010002201021000
4332202010103310
54122033233230
6252034123300
734666232613
oct7642042364
92633081230
101049117940
11499221922
12253420530
13139476c60
149d49587a
1562184b60
hex3e8844f4

1049117940 has 384 divisors, whose sum is σ = 3810240000. Its totient is φ = 237330432.

The previous prime is 1049117897. The next prime is 1049117941. The reversal of 1049117940 is 497119401.

It is a super-2 number, since 2×10491179402 = 2201296904059687200, which contains 22 as substring.

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 = 1049117895 and 1049117904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049117941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7040986 + ... + 7041134.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 21049117940 is an apocalyptic number.

1049117940 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 1049117940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120000).

1049117940 is an abundant number, since it is smaller than the sum of its proper divisors (2761122060).

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

1049117940 is a wasteful number, since it uses less digits than its factorization.

1049117940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1049117940 is about 32390.0901511558. The cubic root of 1049117940 is about 1016.1116667415. Note that the first 3 decimals are identical.

The spelling of 1049117940 in words is "one billion, forty-nine million, one hundred seventeen thousand, nine hundred forty".