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808849248 = 25323336161
BaseRepresentation
bin110000001101100…
…000111101100000
32002100222210120120
4300031200331200
53124031133443
6212132240240
726021051034
oct6015407540
92070883516
10808849248
11385635459
121a6a70080
13cb760a2c
14795d01c4
154b024083
hex30360f60

808849248 has 48 divisors (see below), whose sum is σ = 2132400816. Its totient is φ = 268451840.

The previous prime is 808849219. The next prime is 808849277. The reversal of 808849248 is 842948808.

It is an interprime number because it is at equal distance from previous prime (808849219) and next prime (808849277).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 808849248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4288 + ... + 40448.

It is an arithmetic number, because the mean of its divisors is an integer number (44425017).

Almost surely, 2808849248 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 808849248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066200408).

808849248 is an abundant number, since it is smaller than the sum of its proper divisors (1323551568).

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

808849248 is a wasteful number, since it uses less digits than its factorization.

808849248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36407 (or 36399 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 808849248 is about 28440.2751041547. The cubic root of 808849248 is about 931.7281038051.

It can be divided in two parts, 8088492 and 48, that multiplied together give a square (388247616 = 197042).

The spelling of 808849248 in words is "eight hundred eight million, eight hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 22368 36161 72322 108483 144644 216966 289288 433932 578576 867864 1157152 1735728 3471456 8425513 16851026 25276539 33702052 50553078 67404104 101106156 134808208 202212312 269616416 404424624 808849248