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813343552 = 26746779
BaseRepresentation
bin110000011110101…
…010001101000000
32002200110010121021
4300132222031000
53131203443202
6212412435224
726104210000
oct6036521500
92080403537
10813343552
1138812505a
121a8478b14
13cc675598
147a040000
154b610a37
hex307aa340

813343552 has 140 divisors (see below), whose sum is σ = 1935154880. Its totient is φ = 339026688.

The previous prime is 813343547. The next prime is 813343633. The reversal of 813343552 is 255343318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10295449 + ... + 10295527.

Almost surely, 2813343552 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 813343552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967577440).

813343552 is an abundant number, since it is smaller than the sum of its proper divisors (1121811328).

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

813343552 is an frugal number, since it uses more digits than its factorization.

813343552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 155 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 813343552 is about 28519.1786698004. The cubic root of 813343552 is about 933.4506074860.

The spelling of 813343552 in words is "eight hundred thirteen million, three hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 79 98 112 134 158 196 224 268 316 343 392 448 469 536 553 632 686 784 938 1072 1106 1264 1372 1568 1876 2144 2212 2401 2528 2744 3136 3283 3752 3871 4288 4424 4802 5056 5293 5488 6566 7504 7742 8848 9604 10586 10976 13132 15008 15484 17696 19208 21172 21952 22981 26264 27097 30016 30968 35392 37051 38416 42344 45962 52528 54194 61936 74102 76832 84688 91924 105056 108388 123872 148204 153664 160867 169376 183848 189679 210112 216776 247744 259357 296408 321734 338752 367696 379358 433552 518714 592816 643468 735392 758716 867104 1037428 1185632 1286936 1470784 1517432 1734208 1815499 2074856 2371264 2573872 3034864 3630998 4149712 5147744 6069728 7261996 8299424 10295488 12139456 12708493 14523992 16598848 25416986 29047984 50833972 58095968 101667944 116191936 203335888 406671776 813343552