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80452944 = 243211133907
BaseRepresentation
bin1001100101110…
…01110101010000
312121101102200200
410302321311100
5131043443234
611552215200
71664560455
oct462716520
9177342620
1080452944
1141460540
1222b3a500
131388b5c0
14a98382c
1570e2d99
hex4cb9d50

80452944 has 120 divisors (see below), whose sum is σ = 264587232. Its totient is φ = 22498560.

The previous prime is 80452943. The next prime is 80452963. The reversal of 80452944 is 44925408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80452899 and 80452908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80452943) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18639 + ... + 22545.

Almost surely, 280452944 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 80452944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132293616).

80452944 is an abundant number, since it is smaller than the sum of its proper divisors (184134288).

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

80452944 is a wasteful number, since it uses less digits than its factorization.

80452944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 80452944 is about 8969.5565107758. The cubic root of 80452944 is about 431.6986066483.

The spelling of 80452944 in words is "eighty million, four hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 3907 5148 6864 7814 10296 11721 15628 20592 23442 31256 35163 42977 46884 50791 62512 70326 85954 93768 101582 128931 140652 152373 171908 187536 203164 257862 281304 304746 343816 386793 406328 457119 515724 558701 562608 609492 687632 773586 812656 914238 1031448 1117402 1218984 1547172 1676103 1828476 2062896 2234804 2437968 3094344 3352206 3656952 4469608 5028309 6188688 6704412 7313904 8939216 10056618 13408824 20113236 26817648 40226472 80452944