Search a number
-
+
8825004 = 2233411993
BaseRepresentation
bin100001101010…
…100010101100
3121121100122000
4201222202230
54224400004
6513052300
7135003606
oct41524254
917540560
108825004
114a883a1
122b57090
131a9cac6
14125a176
15b94c39
hex86a8ac

8825004 has 48 divisors (see below), whose sum is σ = 23449440. Its totient is φ = 2868480.

The previous prime is 8824999. The next prime is 8825021. The reversal of 8825004 is 4005288.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432 + ... + 5424.

It is an arithmetic number, because the mean of its divisors is an integer number (488530).

Almost surely, 28825004 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 8825004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724720).

8825004 is an abundant number, since it is smaller than the sum of its proper divisors (14624436).

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

8825004 is a wasteful number, since it uses less digits than its factorization.

8825004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8825004 is about 2970.6908287467. The cubic root of 8825004 is about 206.6513770629.

It can be divided in two parts, 882 and 5004, that added together give a triangular number (5886 = T108).

The spelling of 8825004 in words is "eight million, eight hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 1993 2214 3986 4428 5979 7972 11958 17937 23916 35874 53811 71748 81713 107622 163426 215244 245139 326852 490278 735417 980556 1470834 2206251 2941668 4412502 8825004