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2083766552 = 237210152631
BaseRepresentation
bin111110000110011…
…1100000100011000
312101012222022022222
41330030330010120
513231421012202
6542434203212
7102431503100
oct17414740430
95335868288
102083766552
1197a26071a
124a1a23508
13272925c7a
1415aa62200
15c2e0c4a2
hex7c33c118

2083766552 has 48 divisors (see below), whose sum is σ = 4590036720. Its totient is φ = 884184000.

The previous prime is 2083766549. The next prime is 2083766557. The reversal of 2083766552 is 2556673802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083766557) 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, 13277 + ... + 65907.

It is an arithmetic number, because the mean of its divisors is an integer number (95625765).

Almost surely, 22083766552 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 2083766552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295018360).

2083766552 is an abundant number, since it is smaller than the sum of its proper divisors (2506270168).

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

2083766552 is a wasteful number, since it uses less digits than its factorization.

2083766552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52752 (or 52741 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 2083766552 is about 45648.2918848011. The cubic root of 2083766552 is about 1277.2709090671.

The spelling of 2083766552 in words is "two billion, eighty-three million, seven hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 4949 5656 9898 19796 39592 52631 105262 210524 368417 421048 736834 1473668 2578919 2947336 5157838 5315731 10315676 10631462 20631352 21262924 37210117 42525848 74420234 148840468 260470819 297680936 520941638 1041883276 2083766552