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808673152 = 2775317029
BaseRepresentation
bin110000001100110…
…101111110000000
32002100122212000111
4300030311332000
53124010020102
6212124401104
726016415450
oct6014657600
92070585014
10808673152
11385525121
121a69a6194
13cb6cb831
1479585d60
154aedbcd7
hex30335f80

808673152 has 64 divisors (see below), whose sum is σ = 1876024800. Its totient is φ = 340015104.

The previous prime is 808673141. The next prime is 808673167. The reversal of 808673152 is 251376808.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38974 + ... + 56002.

Almost surely, 2808673152 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 808673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938012400).

808673152 is an abundant number, since it is smaller than the sum of its proper divisors (1067351648).

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

808673152 is a wasteful number, since it uses less digits than its factorization.

808673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17103 (or 17091 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 808673152 is about 28437.1790443426. The cubic root of 808673152 is about 931.6604828399.

The spelling of 808673152 in words is "eight hundred eight million, six hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 17029 23744 34058 47488 68116 119203 136232 238406 272464 476812 544928 902537 953624 1089856 1805074 1907248 2179712 3610148 3814496 6317759 7220296 7628992 12635518 14440592 15257984 25271036 28881184 50542072 57762368 101084144 115524736 202168288 404336576 808673152