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80377472 = 277109823
BaseRepresentation
bin1001100101001…
…11011010000000
312121020121011102
410302213122000
5131034034342
611550433532
71664124440
oct462473200
9177217142
1080377472
114140986a
1222b028a8
1313863146
14a964120
1570ca832
hex4ca7680

80377472 has 64 divisors (see below), whose sum is σ = 184905600. Its totient is φ = 34089984.

The previous prime is 80377471. The next prime is 80377481. The reversal of 80377472 is 27477308.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×803774722 = 12921076010221568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (80377471) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97253 + ... + 98075.

It is an arithmetic number, because the mean of its divisors is an integer number (2889150).

Almost surely, 280377472 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 80377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92452800).

80377472 is an abundant number, since it is smaller than the sum of its proper divisors (104528128).

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

80377472 is a wasteful number, since it uses less digits than its factorization.

80377472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The square root of 80377472 is about 8965.3484037153. The cubic root of 80377472 is about 431.5635738828.

The spelling of 80377472 in words is "eighty million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 436 448 763 823 872 896 1526 1646 1744 3052 3292 3488 5761 6104 6584 6976 11522 12208 13168 13952 23044 24416 26336 46088 48832 52672 89707 92176 97664 105344 179414 184352 358828 368704 627949 717656 737408 1255898 1435312 2511796 2870624 5023592 5741248 10047184 11482496 20094368 40188736 80377472