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80280144 = 24327731091
BaseRepresentation
bin1001100100011…
…11101001010000
312121001122122200
410302033221100
5131022431034
611544403200
71663240620
oct462175120
9177048580
1080280144
114135272a
1222a76500
131382aa59
14a93a880
1570aba99
hex4c8fa50

80280144 has 120 divisors (see below), whose sum is σ = 260524992. Its totient is φ = 22602240.

The previous prime is 80280133. The next prime is 80280163. The reversal of 80280144 is 44108208.

It is a super-3 number, since 3×802801443 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73039 + ... + 74129.

Almost surely, 280280144 is an apocalyptic number.

80280144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80280144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130262496).

80280144 is an abundant number, since it is smaller than the sum of its proper divisors (180244848).

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

80280144 is a wasteful number, since it uses less digits than its factorization.

80280144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80280144 is about 8959.9187496316. The cubic root of 80280144 is about 431.3893120173.

The spelling of 80280144 in words is "eighty million, two hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 73 84 112 126 144 146 168 219 252 292 336 438 504 511 584 657 876 1008 1022 1091 1168 1314 1533 1752 2044 2182 2628 3066 3273 3504 4088 4364 4599 5256 6132 6546 7637 8176 8728 9198 9819 10512 12264 13092 15274 17456 18396 19638 22911 24528 26184 30548 36792 39276 45822 52368 61096 68733 73584 78552 79643 91644 122192 137466 157104 159286 183288 238929 274932 318572 366576 477858 549864 557501 637144 716787 955716 1099728 1115002 1274288 1433574 1672503 1911432 2230004 2867148 3345006 3822864 4460008 5017509 5734296 6690012 8920016 10035018 11468592 13380024 20070036 26760048 40140072 80280144