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1049114880 = 283251117487
BaseRepresentation
bin111110100010000…
…011100100000000
32201010002120001200
4332202003210000
54122033134010
6252034101200
734666220652
oct7642034400
92633076050
101049114880
1149921a5a0
1225341a800
13139475748
149d4946d2
1562183cc0
hex3e883900

1049114880 has 432 divisors, whose sum is σ = 4201352064. Its totient is φ = 238878720.

The previous prime is 1049114851. The next prime is 1049114917. The reversal of 1049114880 is 884119401.

It is a super-2 number, since 2×10491148802 = 2201284062874828800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2153997 + ... + 2154483.

It is an arithmetic number, because the mean of its divisors is an integer number (9725352).

Almost surely, 21049114880 is an apocalyptic number.

1049114880 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 1049114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100676032).

1049114880 is an abundant number, since it is smaller than the sum of its proper divisors (3152237184).

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

1049114880 is a wasteful number, since it uses less digits than its factorization.

1049114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1049114880 is about 32390.0429144513. The cubic root of 1049114880 is about 1016.1106788307.

The spelling of 1049114880 in words is "one billion, forty-nine million, one hundred fourteen thousand, eight hundred eighty".