Search a number
-
+
815555104 = 257132291223
BaseRepresentation
bin110000100111000…
…110001000100000
32002211121111021121
4300213012020200
53132240230404
6212532102024
726132050450
oct6047061040
92084544247
10815555104
113893a5691
121a9164914
13ccc6b0b0
147a457d60
154b8eae54
hex309c6220

815555104 has 96 divisors (see below), whose sum is σ = 1986405120. Its totient is φ = 320965632.

The previous prime is 815555101. The next prime is 815555179. The reversal of 815555104 is 401555518.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 815555104.

It is not an unprimeable number, because it can be changed into a prime (815555101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666237 + ... + 667459.

It is an arithmetic number, because the mean of its divisors is an integer number (20691720).

Almost surely, 2815555104 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 815555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993202560).

815555104 is an abundant number, since it is smaller than the sum of its proper divisors (1170850016).

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

815555104 is a wasteful number, since it uses less digits than its factorization.

815555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 34.

The square root of 815555104 is about 28557.9254148476. The cubic root of 815555104 is about 934.2958863364.

The spelling of 815555104 in words is "eight hundred fifteen million, five hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 229 364 416 458 728 916 1223 1456 1603 1832 2446 2912 2977 3206 3664 4892 5954 6412 7328 8561 9784 11908 12824 15899 17122 19568 20839 23816 25648 31798 34244 39136 41678 47632 51296 63596 68488 83356 95264 111293 127192 136976 166712 222586 254384 273952 280067 333424 445172 508768 560134 666848 890344 1120268 1780688 1960469 2240536 3561376 3640871 3920938 4481072 7281742 7841876 8962144 14563484 15683752 25486097 29126968 31367504 50972194 58253936 62735008 101944388 116507872 203888776 407777552 815555104