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78485808 = 24319412099
BaseRepresentation
bin1001010110110…
…01100100110000
312110200111021210
410223121210300
5130043021213
611442120120
71642055412
oct453314460
9173614253
1078485808
1140337605
1222350040
131335010b
14a5d09b2
156d550c3
hex4ad9930

78485808 has 80 divisors (see below), whose sum is σ = 218736000. Its totient is φ = 24168960.

The previous prime is 78485801. The next prime is 78485839. The reversal of 78485808 is 80858487.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a cake number, because a cake can be divided into 78485808 parts by 778 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (78485801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36343 + ... + 38441.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 278485808 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 78485808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

78485808 is an abundant number, since it is smaller than the sum of its proper divisors (140250192).

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

78485808 is a wasteful number, since it uses less digits than its factorization.

78485808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 78485808 is about 8859.2216362387. The cubic root of 78485808 is about 428.1510806780.

The spelling of 78485808 in words is "seventy-eight million, four hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1558 1968 2099 2337 3116 4198 4674 6232 6297 8396 9348 12464 12594 16792 18696 25188 33584 37392 39881 50376 79762 86059 100752 119643 159524 172118 239286 258177 319048 344236 478572 516354 638096 688472 957144 1032708 1376944 1635121 1914288 2065416 3270242 4130832 4905363 6540484 9810726 13080968 19621452 26161936 39242904 78485808