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80485344 = 2532172967
BaseRepresentation
bin1001100110000…
…01101111100000
312121110002010200
410303001233200
5131101012334
611553025200
71665054102
oct463015740
9177402120
1080485344
1141482915
1222b55200
13138a0284
14a991572
1570ec799
hex4cc1be0

80485344 has 108 divisors (see below), whose sum is σ = 243387144. Its totient is φ = 25224192.

The previous prime is 80485313. The next prime is 80485357. The reversal of 80485344 is 44358408.

80485344 is a `hidden beast` number, since 80 + 48 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80485299 and 80485308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82749 + ... + 83715.

Almost surely, 280485344 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 80485344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121693572).

80485344 is an abundant number, since it is smaller than the sum of its proper divisors (162901800).

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

80485344 is a wasteful number, since it uses less digits than its factorization.

80485344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 80485344 is about 8971.3624383368. The cubic root of 80485344 is about 431.7565500744.

The spelling of 80485344 in words is "eighty million, four hundred eighty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 967 1156 1224 1632 1734 1934 2312 2448 2601 2901 3468 3868 4624 4896 5202 5802 6936 7736 8703 9248 10404 11604 13872 15472 16439 17406 20808 23208 27744 30944 32878 34812 41616 46416 49317 65756 69624 83232 92832 98634 131512 139248 147951 197268 263024 278496 279463 295902 394536 526048 558926 591804 789072 838389 1117852 1183608 1578144 1676778 2235704 2367216 2515167 3353556 4471408 4734432 5030334 6707112 8942816 10060668 13414224 20121336 26828448 40242672 80485344