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78377216 = 282111451
BaseRepresentation
bin1001010101111…
…11000100000000
312110110222022212
410222333010000
5130031032331
611435521252
71641124001
oct452770400
9173428285
1078377216
1140272a65
12222b9228
1313312868
14a5a31a8
156d32d2b
hex4abf100

78377216 has 36 divisors (see below), whose sum is σ = 157298064. Its totient is φ = 38976000.

The previous prime is 78377209. The next prime is 78377219. The reversal of 78377216 is 61277387.

It is a super-2 number, since 2×783772162 = 12285975975821312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78377219) 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 3 ways as a sum of consecutive naturals, for example, 53291 + ... + 54741.

Almost surely, 278377216 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 78377216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78649032).

78377216 is an abundant number, since it is smaller than the sum of its proper divisors (78920848).

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

78377216 is a wasteful number, since it uses less digits than its factorization.

78377216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1664 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The square root of 78377216 is about 8853.0907597291. The cubic root of 78377216 is about 427.9535280139.

The spelling of 78377216 in words is "seventy-eight million, three hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 844 1451 1688 2902 3376 5804 6752 11608 13504 23216 27008 46432 54016 92864 185728 306161 371456 612322 1224644 2449288 4898576 9797152 19594304 39188608 78377216