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806146488 = 233271818837
BaseRepresentation
bin110000000011001…
…101000110111000
32002011220111002100
4300003031012320
53122333141423
6211554303400
725656063210
oct6003150670
92064814070
10806146488
11384059874
121a5b87b60
13cb025774
14790c9240
154ab8d343
hex300cd1b8

806146488 has 96 divisors (see below), whose sum is σ = 2509284960. Its totient is φ = 229029120.

The previous prime is 806146391. The next prime is 806146501. The reversal of 806146488 is 884641608.

It is a super-2 number, since 2×8061464882 = 1299744320229468288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86806 + ... + 95642.

It is an arithmetic number, because the mean of its divisors is an integer number (26138385).

Almost surely, 2806146488 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 806146488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254642480).

806146488 is an abundant number, since it is smaller than the sum of its proper divisors (1703138472).

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

806146488 is a wasteful number, since it uses less digits than its factorization.

806146488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037 (or 9030 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 806146488 is about 28392.7189258091. The cubic root of 806146488 is about 930.6891596667.

The spelling of 806146488 in words is "eight hundred six million, one hundred forty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 181 252 362 504 543 724 1086 1267 1448 1629 2172 2534 3258 3801 4344 5068 6516 7602 8837 10136 11403 13032 15204 17674 22806 26511 30408 35348 45612 53022 61859 70696 79533 91224 106044 123718 159066 185577 212088 247436 318132 371154 494872 556731 636264 742308 1113462 1484616 1599497 2226924 3198994 4453848 4798491 6397988 9596982 11196479 12795976 14395473 19193964 22392958 28790946 33589437 38387928 44785916 57581892 67178874 89571832 100768311 115163784 134357748 201536622 268715496 403073244 806146488