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78313312 = 2571137859
BaseRepresentation
bin1001010101011…
…11011101100000
312110100201200001
410222233131200
5130022011222
611434305344
71640436460
oct452573540
9173321601
1078313312
1140229a50
1222288254
13132bc74c
14a587ba0
156d1de27
hex4aaf760

78313312 has 96 divisors (see below), whose sum is σ = 197648640. Its totient is φ = 29652480.

The previous prime is 78313303. The next prime is 78313331. The reversal of 78313312 is 21331387.

It is a super-2 number, since 2×783133122 = 12265949672818688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90739 + ... + 91597.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 278313312 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 78313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98824320).

78313312 is an abundant number, since it is smaller than the sum of its proper divisors (119335328).

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

78313312 is a wasteful number, since it uses less digits than its factorization.

78313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 78313312 is about 8849.4808887301. The cubic root of 78313312 is about 427.8371873236.

Adding to 78313312 its reverse (21331387), we get a palindrome (99644699).

The spelling of 78313312 in words is "seventy-eight million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 859 1036 1184 1232 1628 1718 2072 2464 2849 3256 3436 4144 5698 6013 6512 6872 8288 9449 11396 12026 13024 13744 18898 22792 24052 27488 31783 37796 45584 48104 63566 66143 75592 91168 96208 127132 132286 151184 192416 222481 254264 264572 302368 349613 444962 508528 529144 699226 889924 1017056 1058288 1398452 1779848 2116576 2447291 2796904 3559696 4894582 5593808 7119392 9789164 11187616 19578328 39156656 78313312