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2890788948 = 2232233491291
BaseRepresentation
bin1010110001001101…
…1111000001010100
321110110112021221100
42230103133001110
521410020221243
61154503350100
7131431205055
oct25423370124
97413467840
102890788948
111253858583
12688152330
13370b97308
141d5cd872c
1511dbc00d3
hexac4df054

2890788948 has 36 divisors (see below), whose sum is σ = 7624981728. Its totient is φ = 921700560.

The previous prime is 2890788899. The next prime is 2890788949. The reversal of 2890788948 is 8498870982.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890788949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1744818 + ... + 1746473.

It is an arithmetic number, because the mean of its divisors is an integer number (211805048).

Almost surely, 22890788948 is an apocalyptic number.

It is an amenable number.

2890788948 is an abundant number, since it is smaller than the sum of its proper divisors (4734192780).

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

2890788948 is a wasteful number, since it uses less digits than its factorization.

2890788948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491324 (or 3491319 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The square root of 2890788948 is about 53766.0575828282. The cubic root of 2890788948 is about 1424.5317345994.

It can be divided in two parts, 28907 and 88948, that added together give a triangular number (117855 = T485).

The spelling of 2890788948 in words is "two billion, eight hundred ninety million, seven hundred eighty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 3491291 6982582 10473873 13965164 20947746 31421619 41895492 62843238 80299693 125686476 160599386 240899079 321198772 481798158 722697237 963596316 1445394474 2890788948