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80429748 = 22373167461
BaseRepresentation
bin1001100101101…
…00001010110100
312121100020212120
410302310022310
5131042222443
611551515540
71664433030
oct462641264
9177306776
1080429748
1141445073
1222b28bb0
1313880b89
14a9791c0
1570db083
hex4cb42b4

80429748 has 96 divisors (see below), whose sum is σ = 225189888. Its totient is φ = 21859200.

The previous prime is 80429747. The next prime is 80429759. The reversal of 80429748 is 84792408.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80429747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174238 + ... + 174698.

It is an arithmetic number, because the mean of its divisors is an integer number (2345728).

Almost surely, 280429748 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 80429748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112594944).

80429748 is an abundant number, since it is smaller than the sum of its proper divisors (144760140).

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

80429748 is a wasteful number, since it uses less digits than its factorization.

80429748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 80429748 is about 8968.2633770424. The cubic root of 80429748 is about 431.6571138911.

The spelling of 80429748 in words is "eighty million, four hundred twenty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 67 84 93 124 134 186 201 217 268 372 402 434 461 469 651 804 868 922 938 1302 1383 1407 1844 1876 2077 2604 2766 2814 3227 4154 5532 5628 6231 6454 8308 9681 12462 12908 14291 14539 19362 24924 28582 29078 30887 38724 42873 43617 57164 58156 61774 85746 87234 92661 100037 123548 171492 174468 185322 200074 216209 300111 370644 400148 432418 600222 648627 864836 957497 1200444 1297254 1914994 2594508 2872491 3829988 5744982 6702479 11489964 13404958 20107437 26809916 40214874 80429748