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80499440 = 2457433343
BaseRepresentation
bin1001100110001…
…01001011110000
312121110210110202
410303011023300
5131101440230
611553214332
71665143150
oct463051360
9177423422
1080499440
114149246a
1222b613a8
13138a6808
14a996760
157101a45
hex4cc52f0

80499440 has 80 divisors (see below), whose sum is σ = 218938368. Its totient is φ = 26949888.

The previous prime is 80499431. The next prime is 80499469. The reversal of 80499440 is 4499408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 80499394 and 80499403.

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, 22409 + ... + 25751.

Almost surely, 280499440 is an apocalyptic number.

80499440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109469184).

80499440 is an abundant number, since it is smaller than the sum of its proper divisors (138438928).

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

80499440 is a wasteful number, since it uses less digits than its factorization.

80499440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 80499440 is about 8972.1480148290. The cubic root of 80499440 is about 431.7817541872.

The spelling of 80499440 in words is "eighty million, four hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1720 2408 3010 3343 3440 4816 6020 6686 12040 13372 16715 23401 24080 26744 33430 46802 53488 66860 93604 117005 133720 143749 187208 234010 267440 287498 374416 468020 574996 718745 936040 1006243 1149992 1437490 1872080 2012486 2299984 2874980 4024972 5031215 5749960 8049944 10062430 11499920 16099888 20124860 40249720 80499440