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80027376 = 243111389131
BaseRepresentation
bin1001100010100…
…01111011110000
312120120210220220
410301101323300
5130441334001
611535133040
71661135652
oct461217360
9176523826
1080027376
114119a830
1222974180
131376c9a0
14a8b26d2
15705bc36
hex4c51ef0

80027376 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 21964800.

The previous prime is 80027369. The next prime is 80027377. The reversal of 80027376 is 67372008.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80027377) 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 31 ways as a sum of consecutive naturals, for example, 610831 + ... + 610961.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 280027376 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 80027376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

80027376 is an abundant number, since it is smaller than the sum of its proper divisors (167456784).

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

80027376 is a wasteful number, since it uses less digits than its factorization.

80027376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 80027376 is about 8945.8021440226. The cubic root of 80027376 is about 430.9360822378.

The spelling of 80027376 in words is "eighty million, twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 89 104 131 132 143 156 176 178 208 262 264 267 286 312 356 393 429 524 528 534 572 624 712 786 858 979 1048 1068 1144 1157 1424 1441 1572 1703 1716 1958 2096 2136 2288 2314 2882 2937 3144 3406 3432 3471 3916 4272 4323 4628 5109 5764 5874 6288 6812 6864 6942 7832 8646 9256 10218 11528 11659 11748 12727 13624 13884 15664 17292 18512 18733 20436 23056 23318 23496 25454 27248 27768 34584 34977 37466 38181 40872 46636 46992 50908 55536 56199 69168 69954 74932 76362 81744 93272 101816 112398 128249 139908 149864 151567 152724 186544 203632 224796 256498 279816 299728 303134 305448 384747 449592 454701 512996 559632 606268 610896 769494 899184 909402 1025992 1212536 1538988 1667237 1818804 2051984 2425072 3077976 3334474 3637608 5001711 6155952 6668948 7275216 10003422 13337896 20006844 26675792 40013688 80027376