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78840048 = 2437415997
BaseRepresentation
bin1001011001100…
…00000011110000
312111100111012210
410230300003300
5130140340143
611453452120
71645062240
oct454600360
9174314183
1078840048
1140559771
12224a1040
1313445421
14a683b20
156dc5033
hex4b300f0

78840048 has 160 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 21381120.

The previous prime is 78840043. The next prime is 78840059. The reversal of 78840048 is 84004887.

It is a junction number, because it is equal to n+sod(n) for n = 78839988 and 78840015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78840043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812736 + ... + 812832.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 278840048 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 78840048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

78840048 is an abundant number, since it is smaller than the sum of its proper divisors (166144272).

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

78840048 is a wasteful number, since it uses less digits than its factorization.

78840048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 78840048 is about 8879.1918551183. The cubic root of 78840048 is about 428.7942569495.

The spelling of 78840048 in words is "seventy-eight million, eight hundred forty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 59 82 84 97 112 118 123 164 168 177 194 236 246 287 291 328 336 354 388 413 472 492 574 582 656 679 708 776 826 861 944 984 1148 1164 1239 1358 1416 1552 1652 1722 1968 2037 2296 2328 2419 2478 2716 2832 3304 3444 3977 4074 4592 4656 4838 4956 5432 5723 6608 6888 7257 7954 8148 9676 9912 10864 11446 11931 13776 14514 15908 16296 16933 17169 19352 19824 22892 23862 27839 29028 31816 32592 33866 34338 38704 40061 45784 47724 50799 55678 58056 63632 67732 68676 80122 83517 91568 95448 101598 111356 116112 120183 135464 137352 160244 167034 190896 203196 222712 234643 240366 270928 274704 320488 334068 406392 445424 469286 480732 640976 668136 703929 812784 938572 961464 1336272 1407858 1642501 1877144 1922928 2815716 3285002 3754288 4927503 5631432 6570004 9855006 11262864 13140008 19710012 26280016 39420024 78840048