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80974728 = 23342931139
BaseRepresentation
bin1001101001110…
…01001110001000
312122100221110000
410310321032020
5131212142403
612011323000
72002162632
oct464711610
9178327400
1080974728
114178756a
1223150460
1313a11c53
14aa7ba52
1571977a3
hex4d39388

80974728 has 160 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 25038720.

The previous prime is 80974721. The next prime is 80974741. The reversal of 80974728 is 82747908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80974721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 582483 + ... + 582621.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 280974728 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 80974728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968000).

80974728 is an abundant number, since it is smaller than the sum of its proper divisors (162961272).

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

80974728 is a wasteful number, since it uses less digits than its factorization.

80974728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 80974728 is about 8998.5958904709. The cubic root of 80974728 is about 432.6298682250.

The spelling of 80974728 in words is "eighty million, nine hundred seventy-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 81 87 93 108 116 124 139 162 174 186 216 232 248 261 278 279 324 348 372 417 522 556 558 648 696 744 783 834 837 899 1044 1112 1116 1251 1566 1668 1674 1798 2088 2232 2349 2502 2511 2697 3132 3336 3348 3596 3753 4031 4309 4698 5004 5022 5394 6264 6696 7192 7506 8062 8091 8618 9396 10008 10044 10788 11259 12093 12927 15012 16124 16182 17236 18792 20088 21576 22518 24186 24273 25854 30024 32248 32364 34472 36279 38781 45036 48372 48546 51708 64728 72558 72819 77562 90072 96744 97092 103416 108837 116343 124961 145116 145638 155124 194184 217674 232686 249922 290232 291276 310248 326511 349029 374883 435348 465372 499844 582552 653022 698058 749766 870696 930744 999688 1124649 1306044 1396116 1499532 2249298 2612088 2792232 2999064 3373947 4498596 6747894 8997192 10121841 13495788 20243682 26991576 40487364 80974728