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80055024 = 24372101337
BaseRepresentation
bin1001100010110…
…00101011110000
312120122012211220
410301120223300
5130443230044
611535505040
71661312400
oct461305360
9176565756
1080055024
1141209585
1222988180
131377c44a
14a8bc800
157065019
hex4c58af0

80055024 has 120 divisors (see below), whose sum is σ = 243676368. Its totient is φ = 22579200.

The previous prime is 80055007. The next prime is 80055067. The reversal of 80055024 is 42055008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80054985 and 80055003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237384 + ... + 237720.

Almost surely, 280055024 is an apocalyptic number.

80055024 is a gapful number since it is divisible by the number (84) 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 80055024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121838184).

80055024 is an abundant number, since it is smaller than the sum of its proper divisors (163621344).

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

80055024 is a wasteful number, since it uses less digits than its factorization.

80055024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 80055024 is about 8947.3473163838. The cubic root of 80055024 is about 430.9857033782.

The spelling of 80055024 in words is "eighty million, fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 101 112 147 168 196 202 294 303 336 337 392 404 588 606 674 707 784 808 1011 1176 1212 1348 1414 1616 2022 2121 2352 2359 2424 2696 2828 4044 4242 4718 4848 4949 5392 5656 7077 8088 8484 9436 9898 11312 14154 14847 16176 16513 16968 18872 19796 28308 29694 33026 33936 34037 37744 39592 49539 56616 59388 66052 68074 79184 99078 102111 113232 118776 132104 136148 198156 204222 237552 238259 264208 272296 396312 408444 476518 544592 714777 792624 816888 953036 1429554 1633776 1667813 1906072 2859108 3335626 3812144 5003439 5718216 6671252 10006878 11436432 13342504 20013756 26685008 40027512 80055024