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78113826 = 23271967487
BaseRepresentation
bin1001010011111…
…10110000100010
312102222121000200
410221332300202
5124444120301
611430130030
71635646050
oct451766042
9172877020
1078113826
114010308a
12221b0916
131324c9cb
14a5351d0
156ccec86
hex4a7ec22

78113826 has 96 divisors (see below), whose sum is σ = 207068160. Its totient is φ = 20785248.

The previous prime is 78113821. The next prime is 78113837. The reversal of 78113826 is 62831187.

It is a super-2 number, since 2×781138262 = 12203539624716552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78113821) 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 47 ways as a sum of consecutive naturals, for example, 160155 + ... + 160641.

It is an arithmetic number, because the mean of its divisors is an integer number (2156960).

Almost surely, 278113826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78113826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103534080).

78113826 is an abundant number, since it is smaller than the sum of its proper divisors (128954334).

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

78113826 is a wasteful number, since it uses less digits than its factorization.

78113826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 78113826 is about 8838.2026453346. The cubic root of 78113826 is about 427.4736046081.

The spelling of 78113826 in words is "seventy-eight million, one hundred thirteen thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 67 114 126 133 134 171 201 266 342 399 402 469 487 603 798 938 974 1197 1206 1273 1407 1461 2394 2546 2814 2922 3409 3819 4221 4383 6818 7638 8442 8766 8911 9253 10227 11457 17822 18506 20454 22914 26733 27759 30681 32629 53466 55518 61362 64771 65258 80199 83277 97887 129542 160398 166554 194313 195774 228403 293661 388626 456806 582939 587322 619951 685209 1165878 1239902 1370418 1859853 2055627 3719706 4111254 4339657 5579559 8679314 11159118 13018971 26037942 39056913 78113826