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78369940 = 225111013527
BaseRepresentation
bin1001010101111…
…01010010010100
312110110121100101
410222331102110
5130030314230
611435423444
71641063535
oct452752224
9173417311
1078369940
1140268550
12222b4b84
131330c45c
14a5a068c
156d30aca
hex4abd494

78369940 has 48 divisors (see below), whose sum is σ = 181367424. Its totient is φ = 28208000.

The previous prime is 78369931. The next prime is 78369943. The reversal of 78369940 is 4996387.

It is a super-2 number, since 2×783699402 = 12283694991207200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78369943) 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, 20457 + ... + 23983.

It is an arithmetic number, because the mean of its divisors is an integer number (3778488).

Almost surely, 278369940 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 78369940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90683712).

78369940 is an abundant number, since it is smaller than the sum of its proper divisors (102997484).

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

78369940 is a wasteful number, since it uses less digits than its factorization.

78369940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 78369940 is about 8852.6798202578. The cubic root of 78369940 is about 427.9402848531.

The spelling of 78369940 in words is "seventy-eight million, three hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 3527 4444 5555 7054 11110 14108 17635 22220 35270 38797 70540 77594 155188 193985 356227 387970 712454 775940 1424908 1781135 3562270 3918497 7124540 7836994 15673988 19592485 39184970 78369940