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78330696 = 233171131699
BaseRepresentation
bin1001010101100…
…11101101001000
312110101121111220
410222303231020
5130023040241
611434522040
71640541243
oct452635510
9173347456
1078330696
1140241014
1222296320
13132c7632
14a59025a
156d24166
hex4ab3b48

78330696 has 64 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 24342528.

The previous prime is 78330691. The next prime is 78330719. The reversal of 78330696 is 69603387.

It is a super-2 number, since 2×783306962 = 12271395871688832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78330691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45255 + ... + 46953.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 278330696 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 78330696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

78330696 is an abundant number, since it is smaller than the sum of its proper divisors (130973304).

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

78330696 is a wasteful number, since it uses less digits than its factorization.

78330696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 78330696 is about 8850.4630387342. The cubic root of 78330696 is about 427.8688421012.

The spelling of 78330696 in words is "seventy-eight million, three hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 204 226 339 408 452 678 904 1356 1699 1921 2712 3398 3842 5097 5763 6796 7684 10194 11526 13592 15368 20388 23052 28883 40776 46104 57766 86649 115532 173298 191987 231064 346596 383974 575961 693192 767948 1151922 1535896 2303844 3263779 4607688 6527558 9791337 13055116 19582674 26110232 39165348 78330696