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8790048 = 2532231327
BaseRepresentation
bin100001100010…
…000000100000
3121112120200100
4201202000200
54222240143
6512222400
7134466651
oct41420040
917476610
108790048
114a64103
122b3aa00
131a89c17
14124b528
15b896d3
hex862020

8790048 has 72 divisors (see below), whose sum is σ = 26103168. Its totient is φ = 2800512.

The previous prime is 8790007. The next prime is 8790077. The reversal of 8790048 is 8400978.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 8789994 and 8790021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5961 + ... + 7287.

It is an arithmetic number, because the mean of its divisors is an integer number (362544).

Almost surely, 28790048 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 8790048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051584).

8790048 is an abundant number, since it is smaller than the sum of its proper divisors (17313120).

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

8790048 is a wasteful number, since it uses less digits than its factorization.

8790048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8790048 is about 2964.8015110628. The cubic root of 8790048 is about 206.3781660697.

The spelling of 8790048 in words is "eight million, seven hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1327 1656 2208 2654 3312 3981 5308 6624 7962 10616 11943 15924 21232 23886 30521 31848 42464 47772 61042 63696 91563 95544 122084 127392 183126 191088 244168 274689 366252 382176 488336 549378 732504 976672 1098756 1465008 2197512 2930016 4395024 8790048