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78485056 = 26131731179
BaseRepresentation
bin1001010110110…
…01011001000000
312110200110020221
410223121121000
5130043010211
611442112424
71642053256
oct453313100
9173613227
1078485056
1140336a91
122234b714
131334c980
14a5d05d6
156d54c71
hex4ad9640

78485056 has 112 divisors (see below), whose sum is σ = 184343040. Its totient is φ = 32808960.

The previous prime is 78485053. The next prime is 78485059. The reversal of 78485056 is 65058487.

It is an interprime number because it is at equal distance from previous prime (78485053) and next prime (78485059).

It is not an unprimeable number, because it can be changed into a prime (78485053) 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 15 ways as a sum of consecutive naturals, for example, 438375 + ... + 438553.

It is an arithmetic number, because the mean of its divisors is an integer number (1645920).

Almost surely, 278485056 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 78485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520).

78485056 is an abundant number, since it is smaller than the sum of its proper divisors (105857984).

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

78485056 is a wasteful number, since it uses less digits than its factorization.

78485056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 78485056 is about 8859.1791944852. The cubic root of 78485056 is about 428.1497132519.

The spelling of 78485056 in words is "seventy-eight million, four hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 136 179 208 221 248 272 358 403 416 442 496 527 544 716 806 832 884 992 1054 1088 1432 1612 1768 1984 2108 2327 2864 3043 3224 3536 4216 4654 5549 5728 6086 6448 6851 7072 8432 9308 11098 11456 12172 12896 13702 14144 16864 18616 22196 24344 25792 27404 33728 37232 39559 44392 48688 54808 72137 74464 79118 88784 94333 97376 109616 144274 148928 158236 177568 188666 194752 219232 288548 316472 355136 377332 438464 577096 632944 754664 1154192 1226329 1265888 1509328 2308384 2452658 2531776 3018656 4616768 4905316 6037312 9810632 19621264 39242528 78485056