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80033004 = 223279107263
BaseRepresentation
bin1001100010100…
…11010011101100
312120121002122100
410301103103230
5130442024004
611535215100
71661161242
oct461232354
9176532570
1080033004
11411a3a87
1222977490
131377240c
14a8b4792
15705d739
hex4c534ec

80033004 has 72 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 25994592.

The previous prime is 80032949. The next prime is 80033017. The reversal of 80033004 is 40033008.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 304177 + ... + 304439.

It is an arithmetic number, because the mean of its divisors is an integer number (2882880).

Almost surely, 280033004 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 80033004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

80033004 is an abundant number, since it is smaller than the sum of its proper divisors (127534356).

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

80033004 is a wasteful number, since it uses less digits than its factorization.

80033004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 80033004 is about 8946.1166994400. The cubic root of 80033004 is about 430.9461839952.

The spelling of 80033004 in words is "eighty million, thirty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 79 107 158 214 237 263 316 321 428 474 526 642 711 789 948 963 1052 1284 1422 1578 1926 2367 2844 3156 3852 4734 8453 9468 16906 20777 25359 28141 33812 41554 50718 56282 62331 76077 83108 84423 101436 112564 124662 152154 168846 186993 249324 253269 304308 337692 373986 506538 747972 1013076 2223139 4446278 6669417 8892556 13338834 20008251 26677668 40016502 80033004