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2892950120 = 235236746933
BaseRepresentation
bin1010110001101110…
…1110101001101000
321110121121002111202
42230123232221220
521411043400440
61155021543332
7131455445624
oct25433565150
97417532452
102892950120
111254aa4275
12688a14b48
13371472c08
141d62dc184
1511de9a615
hexac6eea68

2892950120 has 64 divisors (see below), whose sum is σ = 6893665920. Its totient is φ = 1090324224.

The previous prime is 2892950111. The next prime is 2892950131. The reversal of 2892950120 is 210592982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38174 + ... + 85106.

It is an arithmetic number, because the mean of its divisors is an integer number (107713530).

Almost surely, 22892950120 is an apocalyptic number.

2892950120 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 2892950120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446832960).

2892950120 is an abundant number, since it is smaller than the sum of its proper divisors (4000715800).

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

2892950120 is a wasteful number, since it uses less digits than its factorization.

2892950120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47034 (or 47030 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2892950120 is about 53786.1517493118. The cubic root of 2892950120 is about 1424.8866424653.

The spelling of 2892950120 in words is "two billion, eight hundred ninety-two million, nine hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 268 335 460 536 670 920 1340 1541 2680 3082 6164 7705 12328 15410 30820 46933 61640 93866 187732 234665 375464 469330 938660 1079459 1877320 2158918 3144511 4317836 5397295 6289022 8635672 10794590 12578044 15722555 21589180 25156088 31445110 43178360 62890220 72323753 125780440 144647506 289295012 361618765 578590024 723237530 1446475060 2892950120