Search a number
-
+
80294112 = 2533199467
BaseRepresentation
bin1001100100100…
…11000011100000
312121002100211000
410302103003200
5131023402422
611544552000
71663326423
oct462230340
9177070730
1080294112
1141362178
1222a82600
1313834212
14a9419ba
1570b0cac
hex4c930e0

80294112 has 96 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 26573184.

The previous prime is 80294089. The next prime is 80294129. The reversal of 80294112 is 21149208.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171703 + ... + 172169.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 280294112 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 80294112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

80294112 is an abundant number, since it is smaller than the sum of its proper divisors (155577888).

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

80294112 is a wasteful number, since it uses less digits than its factorization.

80294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80294112 is about 8960.6981870834. The cubic root of 80294112 is about 431.4143298120.

The spelling of 80294112 in words is "eighty million, two hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 199 216 288 398 432 467 597 796 864 934 1194 1401 1592 1791 1868 2388 2802 3184 3582 3736 4203 4776 5373 5604 6368 7164 7472 8406 9552 10746 11208 12609 14328 14944 16812 19104 21492 22416 25218 28656 33624 42984 44832 50436 57312 67248 85968 92933 100872 134496 171936 185866 201744 278799 371732 403488 557598 743464 836397 1115196 1486928 1672794 2230392 2509191 2973856 3345588 4460784 5018382 6691176 8921568 10036764 13382352 20073528 26764704 40147056 80294112