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80541472 = 251133161
BaseRepresentation
bin1001100110011…
…11011100100000
312121112221010111
410303033130200
5131104311342
611554141104
71665406534
oct463173440
9177487114
1080541472
1141511000
1222b81794
13138bc99b
14a9a7bc4
15710e217
hex4ccf720

80541472 has 96 divisors (see below), whose sum is σ = 182988288. Its totient is φ = 34848000.

The previous prime is 80541463. The next prime is 80541479. The reversal of 80541472 is 27414508.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (80541479) 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 15 ways as a sum of consecutive naturals, for example, 1320322 + ... + 1320382.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 280541472 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 80541472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494144).

80541472 is an abundant number, since it is smaller than the sum of its proper divisors (102446816).

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

80541472 is a wasteful number, since it uses less digits than its factorization.

80541472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 80541472 is about 8974.4900690791. The cubic root of 80541472 is about 431.8568913265.

The spelling of 80541472 in words is "eighty million, five hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 61 62 88 121 122 124 176 242 244 248 341 352 484 488 496 671 682 968 976 992 1331 1342 1364 1891 1936 1952 2662 2684 2728 3751 3782 3872 5324 5368 5456 7381 7502 7564 10648 10736 10912 14762 15004 15128 20801 21296 21472 29524 30008 30256 41261 41602 42592 59048 60016 60512 81191 82522 83204 118096 120032 162382 165044 166408 228811 236192 324764 330088 332816 457622 649528 660176 665632 915244 1299056 1320352 1830488 2516921 2598112 3660976 5033842 7321952 10067684 20135368 40270736 80541472