Search a number
-
+
7285896 = 233389379
BaseRepresentation
bin11011110010110010001000
3111201011101000
4123302302020
53331122041
6420055000
7115633452
oct33626210
914634330
107285896
114127002
122534460
1316813a7
14d792d2
1598dbb6
hex6f2c88

7285896 has 64 divisors (see below), whose sum is σ = 20520000. Its totient is φ = 2395008.

The previous prime is 7285891. The next prime is 7285897. The reversal of 7285896 is 6985827.

7285896 = T383 + T384 + ... + T463.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7285891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19035 + ... + 19413.

It is an arithmetic number, because the mean of its divisors is an integer number (320625).

Almost surely, 27285896 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 7285896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260000).

7285896 is an abundant number, since it is smaller than the sum of its proper divisors (13234104).

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

7285896 is a wasteful number, since it uses less digits than its factorization.

7285896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7285896 is about 2699.2398930069. The cubic root of 7285896 is about 193.8627292646.

The spelling of 7285896 in words is "seven million, two hundred eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 379 534 712 758 801 1068 1137 1516 1602 2136 2274 2403 3032 3204 3411 4548 4806 6408 6822 9096 9612 10233 13644 19224 20466 27288 33731 40932 67462 81864 101193 134924 202386 269848 303579 404772 607158 809544 910737 1214316 1821474 2428632 3642948 7285896