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80466672 = 243111319617
BaseRepresentation
bin1001100101111…
…01001011110000
312121102010112010
410302331023300
5131044413142
611552402520
71664645466
oct462751360
9177363463
1080466672
114146a890
1222b46440
1313894920
14a988836
1570e6e9c
hex4cbd2f0

80466672 has 160 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 21288960.

The previous prime is 80466647. The next prime is 80466713. The reversal of 80466672 is 27666408.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 80466672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130108 + ... + 130724.

It is an arithmetic number, because the mean of its divisors is an integer number (1609272).

Almost surely, 280466672 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 80466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128741760).

80466672 is an abundant number, since it is smaller than the sum of its proper divisors (177016848).

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

80466672 is a wasteful number, since it uses less digits than its factorization.

80466672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 80466672 is about 8970.3217333605. The cubic root of 80466672 is about 431.7231593915.

It can be divided in two parts, 804 and 66672, that added together give a palindrome (67476).

The spelling of 80466672 in words is "eighty million, four hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 76 78 88 104 114 132 143 152 156 176 208 209 228 247 264 286 304 312 418 429 456 494 528 572 617 624 627 741 836 858 912 988 1144 1234 1254 1482 1672 1716 1851 1976 2288 2468 2508 2717 2964 3344 3432 3702 3952 4936 5016 5434 5928 6787 6864 7404 8021 8151 9872 10032 10868 11723 11856 13574 14808 16042 16302 20361 21736 23446 24063 27148 29616 32084 32604 35169 40722 43472 46892 48126 54296 64168 65208 70338 81444 88231 93784 96252 108592 128336 128953 130416 140676 152399 162888 176462 187568 192504 257906 264693 281352 304798 325776 352924 385008 386859 457197 515812 529386 562704 609596 705848 773718 914394 1031624 1058772 1219192 1411696 1547436 1676389 1828788 2063248 2117544 2438384 3094872 3352778 3657576 4235088 5029167 6189744 6705556 7315152 10058334 13411112 20116668 26822224 40233336 80466672