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80273232 = 243213137313
BaseRepresentation
bin1001100100011…
…01111101010000
312121001022011200
410302031331100
5131022220412
611544311200
71663211514
oct462157520
9177038150
1080273232
1141348516
1222a72500
1313827870
14a938144
1570a99dc
hex4c8df50

80273232 has 120 divisors (see below), whose sum is σ = 244479144. Its totient is φ = 24440832.

The previous prime is 80273231. The next prime is 80273257. The reversal of 80273232 is 23237208.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 79281216 = 996^2 + 8904^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 80273196 and 80273205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80273231) 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 23 ways as a sum of consecutive naturals, for example, 256308 + ... + 256620.

Almost surely, 280273232 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 80273232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122239572).

80273232 is an abundant number, since it is smaller than the sum of its proper divisors (164205912).

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

80273232 is a wasteful number, since it uses less digits than its factorization.

80273232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 80273232 is about 8959.5330235454. The cubic root of 80273232 is about 431.3769310044.

The spelling of 80273232 in words is "eighty million, two hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 313 411 468 548 624 626 822 936 939 1096 1233 1252 1644 1781 1872 1878 2192 2466 2504 2817 3288 3562 3756 4069 4932 5008 5343 5634 6576 7124 7512 8138 9864 10686 11268 12207 14248 15024 16029 16276 19728 21372 22536 24414 28496 32058 32552 36621 42744 42881 45072 48828 64116 65104 73242 85488 85762 97656 128232 128643 146484 171524 195312 256464 257286 292968 343048 385929 514572 557453 585936 686096 771858 1029144 1114906 1543716 1672359 2058288 2229812 3087432 3344718 4459624 5017077 6174864 6689436 8919248 10034154 13378872 20068308 26757744 40136616 80273232