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1049487648 = 253111922753
BaseRepresentation
bin111110100011011…
…110100100100000
32201010210111101220
4332203132210200
54122132101043
6252050055040
735002332516
oct7643364440
92633714356
101049487648
11499454670
1225357a480
13139576311
149d5504b6
1562209483
hex3e8de920

1049487648 has 144 divisors (see below), whose sum is σ = 3173004576. Its totient is φ = 301178880.

The previous prime is 1049487623. The next prime is 1049487653. The reversal of 1049487648 is 8467849401.

1049487648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10494876482 = 2202848646609143808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1049487648.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379840 + ... + 382592.

It is an arithmetic number, because the mean of its divisors is an integer number (22034754).

Almost surely, 21049487648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1049487648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586502288).

1049487648 is an abundant number, since it is smaller than the sum of its proper divisors (2123516928).

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

1049487648 is a wasteful number, since it uses less digits than its factorization.

1049487648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 1049487648 is about 32395.7967643952. The cubic root of 1049487648 is about 1016.2310115989.

The spelling of 1049487648 in words is "one billion, forty-nine million, four hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 361 418 456 528 608 627 722 836 912 1056 1083 1254 1444 1672 1824 2166 2508 2753 2888 3344 3971 4332 5016 5506 5776 6688 7942 8259 8664 10032 11012 11552 11913 15884 16518 17328 20064 22024 23826 30283 31768 33036 34656 44048 47652 52307 60566 63536 66072 88096 90849 95304 104614 121132 127072 132144 156921 181698 190608 209228 242264 264288 313842 363396 381216 418456 484528 575377 627684 726792 836912 969056 993833 1150754 1255368 1453584 1673824 1726131 1987666 2301508 2510736 2907168 2981499 3452262 3975332 4603016 5021472 5962998 6904524 7950664 9206032 10932163 11925996 13809048 15901328 18412064 21864326 23851992 27618096 31802656 32796489 43728652 47703984 55236192 65592978 87457304 95407968 131185956 174914608 262371912 349829216 524743824 1049487648