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78824328 = 233111272351
BaseRepresentation
bin1001011001011…
…00001110001000
312111022200122120
410230230032020
5130134334303
611453251240
71644665352
oct454541610
9174280576
1078824328
1140548980
1222493b20
131343b21b
14a67c0d2
156dc0553
hex4b2c388

78824328 has 64 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 23688000.

The previous prime is 78824327. The next prime is 78824329. The reversal of 78824328 is 82342887.

It is an interprime number because it is at equal distance from previous prime (78824327) and next prime (78824329).

It is a self number, because there is not a number n which added to its sum of digits gives 78824328.

It is not an unprimeable number, because it can be changed into a prime (78824321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32353 + ... + 34703.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 278824328 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 78824328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

78824328 is an abundant number, since it is smaller than the sum of its proper divisors (137935992).

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

78824328 is a wasteful number, since it uses less digits than its factorization.

78824328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2494 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 78824328 is about 8878.3065952917. The cubic root of 78824328 is about 428.7657558093.

The spelling of 78824328 in words is "seventy-eight million, eight hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 127 132 254 264 381 508 762 1016 1397 1524 2351 2794 3048 4191 4702 5588 7053 8382 9404 11176 14106 16764 18808 25861 28212 33528 51722 56424 77583 103444 155166 206888 298577 310332 597154 620664 895731 1194308 1791462 2388616 3284347 3582924 6568694 7165848 9853041 13137388 19706082 26274776 39412164 78824328