Search a number
-
+
83904408 = 23327277601
BaseRepresentation
bin1010000000001…
…00011110011000
312211212210012200
411000010132120
5132434420113
612154210200
72036114160
oct500043630
9184783180
1083904408
11433a8695
1224123960
13144c95a3
14b2015a0
157575873
hex5004798

83904408 has 96 divisors (see below), whose sum is σ = 261075360. Its totient is φ = 23846400.

The previous prime is 83904407. The next prime is 83904439. The reversal of 83904408 is 80440938.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83904407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139308 + ... + 139908.

It is an arithmetic number, because the mean of its divisors is an integer number (2719535).

Almost surely, 283904408 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 83904408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130537680).

83904408 is an abundant number, since it is smaller than the sum of its proper divisors (177170952).

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

83904408 is a wasteful number, since it uses less digits than its factorization.

83904408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83904408 is about 9159.9349342667. The cubic root of 83904408 is about 437.7857211710.

The spelling of 83904408 in words is "eighty-three million, nine hundred four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 277 504 554 601 831 1108 1202 1662 1803 1939 2216 2404 2493 3324 3606 3878 4207 4808 4986 5409 5817 6648 7212 7756 8414 9972 10818 11634 12621 14424 15512 16828 17451 19944 21636 23268 25242 33656 34902 37863 43272 46536 50484 69804 75726 100968 139608 151452 166477 302904 332954 499431 665908 998862 1165339 1331816 1498293 1997724 2330678 2996586 3496017 3995448 4661356 5993172 6992034 9322712 10488051 11986344 13984068 20976102 27968136 41952204 83904408