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83491290 = 23352910663
BaseRepresentation
bin1001111100111…
…11100111011010
312211002210112000
410332133213122
5132333210130
612141301430
72032443561
oct476374732
9184083460
1083491290
1143146273
1223b64876
13143b353c
14b134bd8
1574e3260
hex4f9f9da

83491290 has 64 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 21494592.

The previous prime is 83491283. The next prime is 83491297. The reversal of 83491290 is 9219438.

83491290 is a `hidden beast` number, since 83 + 491 + 2 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (83491283) and next prime (83491297).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83491297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2499 + ... + 13161.

It is an arithmetic number, because the mean of its divisors is an integer number (3599100).

Almost surely, 283491290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83491290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

83491290 is an abundant number, since it is smaller than the sum of its proper divisors (146851110).

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

83491290 is a wasteful number, since it uses less digits than its factorization.

83491290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10708 (or 10702 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 83491290 is about 9137.3568388238. The cubic root of 83491290 is about 437.0660338993.

The spelling of 83491290 in words is "eighty-three million, four hundred ninety-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1566 2610 3915 7830 10663 21326 31989 53315 63978 95967 106630 159945 191934 287901 309227 319890 479835 575802 618454 927681 959670 1439505 1546135 1855362 2783043 2879010 3092270 4638405 5566086 8349129 9276810 13915215 16698258 27830430 41745645 83491290