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80234928 = 2433792351
BaseRepresentation
bin1001100100001…
…00100110110000
312120222100122000
410302010212300
5131020004203
611543414000
71662662034
oct462044660
9176870560
1080234928
1141321764
1222a54300
13138132b7
14a9281c4
15709d4a3
hex4c849b0

80234928 has 80 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 26395200.

The previous prime is 80234927. The next prime is 80234933. The reversal of 80234928 is 82943208.

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 = 80234892 and 80234901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80234923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32953 + ... + 35303.

It is an arithmetic number, because the mean of its divisors is an integer number (2916480).

Almost surely, 280234928 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 80234928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659200).

80234928 is an abundant number, since it is smaller than the sum of its proper divisors (153083472).

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

80234928 is a wasteful number, since it uses less digits than its factorization.

80234928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80234928 is about 8957.3951570755. The cubic root of 80234928 is about 431.3083066721.

The spelling of 80234928 in words is "eighty million, two hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2351 2844 3792 4266 4702 5688 7053 8532 9404 11376 14106 17064 18808 21159 28212 34128 37616 42318 56424 63477 84636 112848 126954 169272 185729 253908 338544 371458 507816 557187 742916 1015632 1114374 1485832 1671561 2228748 2971664 3343122 4457496 5014683 6686244 8914992 10029366 13372488 20058732 26744976 40117464 80234928