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78227968 = 297132373
BaseRepresentation
bin1001010100110…
…10101000000000
312110012101121011
410222122220000
5130011243333
611432410304
71636632610
oct452325000
9173171534
1078227968
1140180915
1222246994
131328c950
14a564a40
156d039cd
hex4a9aa00

78227968 has 160 divisors (see below), whose sum is σ = 203486976. Its totient is φ = 29196288.

The previous prime is 78227957. The next prime is 78227969. The reversal of 78227968 is 86972287.

It is a super-2 number, since 2×782279682 = 12239229954818048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78227969) 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, 1071580 + ... + 1071652.

Almost surely, 278227968 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 78227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101743488).

78227968 is an abundant number, since it is smaller than the sum of its proper divisors (125259008).

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

78227968 is a wasteful number, since it uses less digits than its factorization.

78227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 78227968 is about 8844.6575965381. The cubic root of 78227968 is about 427.6817152087.

The spelling of 78227968 in words is "seventy-eight million, two hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 73 91 92 104 112 128 146 161 182 184 208 224 256 292 299 322 364 368 416 448 511 512 584 598 644 728 736 832 896 949 1022 1168 1196 1288 1456 1472 1664 1679 1792 1898 2044 2093 2336 2392 2576 2912 2944 3328 3358 3584 3796 4088 4186 4672 4784 5152 5824 5888 6643 6656 6716 7592 8176 8372 9344 9568 10304 11648 11753 11776 13286 13432 15184 16352 16744 18688 19136 20608 21827 23296 23506 26572 26864 30368 32704 33488 37376 38272 41216 43654 46592 47012 53144 53728 60736 65408 66976 76544 82432 87308 94024 106288 107456 121472 130816 133952 152789 153088 174616 188048 212576 214912 242944 261632 267904 305578 349232 376096 425152 429824 485888 535808 611156 698464 752192 850304 859648 1071616 1222312 1396928 1504384 1700608 2444624 2793856 3008768 3401216 4889248 5587712 6017536 9778496 11175424 19556992 39113984 78227968