Search a number
-
+
802890324 = 223243601863
BaseRepresentation
bin101111110110110…
…010001001010100
32001221210001110200
4233312302021110
53121014442244
6211400420500
725616312055
oct5766621124
92057701420
10802890324
11382235425
121a4a77730
13ca455642
14788bc72c
154a748669
hex2fdb2254

802890324 has 72 divisors (see below), whose sum is σ = 2082592512. Its totient is φ = 260668800.

The previous prime is 802890323. The next prime is 802890337. The reversal of 802890324 is 423098208.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (802890323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929917 + ... + 930779.

It is an arithmetic number, because the mean of its divisors is an integer number (28924896).

Almost surely, 2802890324 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 802890324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041296256).

802890324 is an abundant number, since it is smaller than the sum of its proper divisors (1279702188).

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

802890324 is a wasteful number, since it uses less digits than its factorization.

802890324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 802890324 is about 28335.3193735310. The cubic root of 802890324 is about 929.4343976734.

The spelling of 802890324 in words is "eight hundred two million, eight hundred ninety thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 601 774 863 1202 1548 1726 1803 2404 2589 3452 3606 5178 5409 7212 7767 10356 10818 15534 21636 25843 31068 37109 51686 74218 77529 103372 111327 148436 155058 222654 232587 310116 333981 445308 465174 518663 667962 930348 1037326 1335924 1555989 2074652 3111978 4667967 6223956 9335934 18671868 22302509 44605018 66907527 89210036 133815054 200722581 267630108 401445162 802890324