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80032968 = 2333536991
BaseRepresentation
bin1001100010100…
…11010011001000
312120121002121000
410301103103020
5130442023333
611535215000
71661161161
oct461232310
9176532530
1080032968
11411a3a54
1222977460
13137723b2
14a8b4768
15705d713
hex4c534c8

80032968 has 64 divisors (see below), whose sum is σ = 226540800. Its totient is φ = 26170560.

The previous prime is 80032949. The next prime is 80033017. The reversal of 80032968 is 86923008.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7953 + ... + 14943.

It is an arithmetic number, because the mean of its divisors is an integer number (3539700).

Almost surely, 280032968 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 80032968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113270400).

80032968 is an abundant number, since it is smaller than the sum of its proper divisors (146507832).

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

80032968 is a wasteful number, since it uses less digits than its factorization.

80032968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80032968 is about 8946.1146873936. The cubic root of 80032968 is about 430.9461193800.

The spelling of 80032968 in words is "eighty million, thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 6991 11448 13982 20973 27964 41946 55928 62919 83892 125838 167784 188757 251676 370523 377514 503352 741046 755028 1111569 1482092 1510056 2223138 2964184 3334707 4446276 6669414 8892552 10004121 13338828 20008242 26677656 40016484 80032968