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78398064 = 24331731049
BaseRepresentation
bin1001010110001…
…00001001110000
312110112000221000
410223010021300
5130032214224
611440202000
71641241533
oct453041160
9173460830
1078398064
1140287698
1222309300
131331c1b4
14a5aaa1a
156d390c9
hex4ac4270

78398064 has 80 divisors (see below), whose sum is σ = 226548000. Its totient is φ = 25956864.

The previous prime is 78398059. The next prime is 78398069. The reversal of 78398064 is 46089387.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78398059) and next prime (78398069).

It is a super-2 number, since 2×783980642 = 12292512877896192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78398069) 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, 74212 + ... + 75260.

It is an arithmetic number, because the mean of its divisors is an integer number (2831850).

Almost surely, 278398064 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 78398064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113274000).

78398064 is an abundant number, since it is smaller than the sum of its proper divisors (148149936).

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

78398064 is a wasteful number, since it uses less digits than its factorization.

78398064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 78398064 is about 8854.2681233403. The cubic root of 78398064 is about 427.9914692451.

The spelling of 78398064 in words is "seventy-eight million, three hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 216 346 432 519 692 1038 1049 1384 1557 2076 2098 2768 3114 3147 4152 4196 4671 6228 6294 8304 8392 9342 9441 12456 12588 16784 18684 18882 24912 25176 28323 37368 37764 50352 56646 74736 75528 113292 151056 181477 226584 362954 453168 544431 725908 1088862 1451816 1633293 2177724 2903632 3266586 4355448 4899879 6533172 8710896 9799758 13066344 19599516 26132688 39199032 78398064