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2882949120 = 21232515641
BaseRepresentation
bin1010101111010110…
…0101000000000000
321102220202222201100
42223311211000000
521401013332440
61154023334400
7131304443322
oct25365450000
97386688640
102882949120
11124a393387
126855b1400
1336c380a6c
141d4c57612
1511d172230
hexabd65000

2882949120 has 156 divisors (see below), whose sum is σ = 9993642516. Its totient is φ = 768737280.

The previous prime is 2882949109. The next prime is 2882949169. The reversal of 2882949120 is 219492882.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2230861824 + 652087296 = 47232^2 + 25536^2 .

It is a super-2 number, since 2×28829491202 = 16622791257017548800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176500 + ... + 192140.

It is an arithmetic number, because the mean of its divisors is an integer number (64061811).

Almost surely, 22882949120 is an apocalyptic number.

2882949120 is a gapful number since it is divisible by the number (20) 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 2882949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996821258).

2882949120 is an abundant number, since it is smaller than the sum of its proper divisors (7110693396).

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

2882949120 is a wasteful number, since it uses less digits than its factorization.

2882949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15676 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2882949120 is about 53693.1012328400. The cubic root of 2882949120 is about 1423.2427906262.

The spelling of 2882949120 in words is "two billion, eight hundred eighty-two million, nine hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 15641 18432 20480 23040 30720 31282 36864 46080 46923 61440 62564 78205 92160 93846 125128 140769 156410 184320 187692 234615 250256 281538 312820 375384 469230 500512 563076 625640 703845 750768 938460 1001024 1126152 1251280 1407690 1501536 1876920 2002048 2252304 2502560 2815380 3003072 3753840 4004096 4504608 5005120 5630760 6006144 7507680 8008192 9009216 10010240 11261520 12012288 15015360 16016384 18018432 20020480 22523040 24024576 30030720 32032768 36036864 40040960 45046080 48049152 60061440 64065536 72073728 80081920 90092160 96098304 120122880 144147456 160163840 180184320 192196608 240245760 288294912 320327680 360368640 480491520 576589824 720737280 960983040 1441474560 2882949120