Search a number
-
+
815553108 = 223297233549
BaseRepresentation
bin110000100111000…
…101101001010100
32002211121101112200
4300213011221110
53132240144413
6212532044500
726132041566
oct6047055124
92084541480
10815553108
113893a4137
121a9163730
13ccc6a206
147a457336
154b8ea573
hex309c5a54

815553108 has 36 divisors (see below), whose sum is σ = 2082798900. Its totient is φ = 269047296.

The previous prime is 815553107. The next prime is 815553119. The reversal of 815553108 is 801355518.

It can be written as a sum of positive squares in 2 ways, for example, as 634435344 + 181117764 = 25188^2 + 13458^2 .

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

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 (815553107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113283 + ... + 120266.

It is an arithmetic number, because the mean of its divisors is an integer number (57855525).

Almost surely, 2815553108 is an apocalyptic number.

It is an amenable number.

815553108 is an abundant number, since it is smaller than the sum of its proper divisors (1267245792).

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

815553108 is a wasteful number, since it uses less digits than its factorization.

815553108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233656 (or 233651 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 815553108 is about 28557.8904683102. The cubic root of 815553108 is about 934.2951241332.

The spelling of 815553108 in words is "eight hundred fifteen million, five hundred fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 233549 467098 700647 934196 1401294 2101941 2802588 4203882 8407764 22654253 45308506 67962759 90617012 135925518 203888277 271851036 407776554 815553108