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808484352 = 29313192131
BaseRepresentation
bin110000001100000…
…111111000000000
32002100022021000220
4300030013320000
53123432444402
6212120343040
726015001144
oct6014077000
92070267026
10808484352
11385406295
121a6914a80
13cb663910
1479537224
154aea0dbc
hex30307e00

808484352 has 160 divisors (see below), whose sum is σ = 2442760320. Its totient is φ = 235560960.

The previous prime is 808484329. The next prime is 808484363. The reversal of 808484352 is 253484808.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378327 + ... + 380457.

It is an arithmetic number, because the mean of its divisors is an integer number (15267252).

Almost surely, 2808484352 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 808484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221380160).

808484352 is an abundant number, since it is smaller than the sum of its proper divisors (1634275968).

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

808484352 is a wasteful number, since it uses less digits than its factorization.

808484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 808484352 is about 28433.8592526586. The cubic root of 808484352 is about 931.5879726259.

The spelling of 808484352 in words is "eight hundred eight million, four hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 741 768 832 912 988 1216 1248 1482 1536 1664 1824 1976 2131 2432 2496 2964 3328 3648 3952 4262 4864 4992 5928 6393 6656 7296 7904 8524 9728 9984 11856 12786 14592 15808 17048 19968 23712 25572 27703 29184 31616 34096 40489 47424 51144 55406 63232 68192 80978 83109 94848 102288 110812 121467 126464 136384 161956 166218 189696 204576 221624 242934 272768 323912 332436 379392 409152 443248 485868 526357 545536 647824 664872 818304 886496 971736 1052714 1091072 1295648 1329744 1579071 1636608 1772992 1943472 2105428 2591296 2659488 3158142 3273216 3545984 3886944 4210856 5182592 5318976 6316284 7091968 7773888 8421712 10365184 10637952 12632568 14183936 15547776 16843424 20730368 21275904 25265136 31095552 33686848 42551808 50530272 62191104 67373696 101060544 134747392 202121088 269494784 404242176 808484352