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2883248632 = 2311194314001
BaseRepresentation
bin1010101111011010…
…1110000111111000
321102221100012120101
42223312232013320
521401102424012
61154034005144
7131310131455
oct25366560770
97387305511
102883248632
11124a578410
126857167b4
1336c4571a4
141d4cd482c
1511d1d0d57
hexabdae1f8

2883248632 has 64 divisors (see below), whose sum is σ = 6223910400. Its totient is φ = 1238400000.

The previous prime is 2883248629. The next prime is 2883248633. The reversal of 2883248632 is 2368423882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2883248633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718632 + ... + 722632.

It is an arithmetic number, because the mean of its divisors is an integer number (97248600).

Almost surely, 22883248632 is an apocalyptic number.

2883248632 is a gapful number since it is divisible by the number (22) 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 2883248632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111955200).

2883248632 is an abundant number, since it is smaller than the sum of its proper divisors (3340661768).

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

2883248632 is a wasteful number, since it uses less digits than its factorization.

2883248632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4464 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The square root of 2883248632 is about 53695.8902710440. The cubic root of 2883248632 is about 1423.2920762149.

The spelling of 2883248632 in words is "two billion, eight hundred eighty-three million, two hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 431 836 862 1672 1724 3448 4001 4741 8002 8189 9482 16004 16378 18964 32008 32756 37928 44011 65512 76019 88022 90079 152038 176044 180158 304076 352088 360316 608152 720632 836209 1672418 1724431 3344836 3448862 6689672 6897724 13795448 18968741 32764189 37937482 65528378 75874964 131056756 151749928 262113512 360406079 720812158 1441624316 2883248632