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80542464 = 2831731199
BaseRepresentation
bin1001100110011…
…11101100000000
312121112222111020
410303033230000
5131104324324
611554145440
71665412452
oct463175400
9177488436
1080542464
1141511822
1222b82280
13138c0282
14a9a82d2
15710e679
hex4ccfb00

80542464 has 144 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 24330240.

The previous prime is 80542411. The next prime is 80542489. The reversal of 80542464 is 46424508.

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, 404637 + ... + 404835.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 280542464 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 80542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117734400).

80542464 is an abundant number, since it is smaller than the sum of its proper divisors (154926336).

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

80542464 is a wasteful number, since it uses less digits than its factorization.

80542464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 80542464 is about 8974.5453366731. The cubic root of 80542464 is about 431.8586643272.

The spelling of 80542464 in words is "eighty million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 199 204 248 256 272 372 384 398 408 496 527 544 597 744 768 796 816 992 1054 1088 1194 1488 1581 1592 1632 1984 2108 2176 2388 2976 3162 3184 3264 3383 3968 4216 4352 4776 5952 6169 6324 6368 6528 6766 7936 8432 9552 10149 11904 12338 12648 12736 13056 13532 16864 18507 19104 20298 23808 24676 25296 25472 27064 33728 37014 38208 40596 49352 50592 50944 54128 67456 74028 76416 81192 98704 101184 104873 108256 134912 148056 152832 162384 197408 202368 209746 216512 296112 314619 324768 394816 404736 419492 433024 592224 629238 649536 789632 838984 866048 1184448 1258476 1299072 1579264 1677968 2368896 2516952 2598144 3355936 4737792 5033904 6711872 10067808 13423744 20135616 26847488 40271232 80542464