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78403842 = 23311196947
BaseRepresentation
bin1001010110001…
…01100100000010
312110112022212000
410223011210002
5130032410332
611440244430
71641264426
oct453054402
9173468760
1078403842
1140290a70
1222310716
1313321a0a
14a5acb86
156d3ab7c
hex4ac5902

78403842 has 64 divisors (see below), whose sum is σ = 200102400. Its totient is φ = 22505040.

The previous prime is 78403837. The next prime is 78403883. The reversal of 78403842 is 24830487.

It is a super-3 number, since 3×784038423 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 78403797 and 78403806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7813 + ... + 14759.

It is an arithmetic number, because the mean of its divisors is an integer number (3126600).

Almost surely, 278403842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78403842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100051200).

78403842 is an abundant number, since it is smaller than the sum of its proper divisors (121698558).

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

78403842 is a wasteful number, since it uses less digits than its factorization.

78403842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 78403842 is about 8854.5944006487. The cubic root of 78403842 is about 428.0019834246.

The spelling of 78403842 in words is "seventy-eight million, four hundred three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 6947 11286 13894 20841 41682 62523 76417 125046 131993 152834 187569 229251 263986 375138 395979 458502 687753 791958 1187937 1375506 1451923 2063259 2375874 2903846 3563811 4126518 4355769 7127622 8711538 13067307 26134614 39201921 78403842