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678216448 = 2872134159
BaseRepresentation
bin101000011011001…
…100001100000000
31202021011222001201
4220123030030000
52342110411243
6151144310544
722543513300
oct5033141400
91667158051
10678216448
11318921068
1216b172454
13aa683210
1466107600
153e81d04d
hex286cc300

678216448 has 108 divisors (see below), whose sum is σ = 1696356480. Its totient is φ = 268240896.

The previous prime is 678216437. The next prime is 678216491. The reversal of 678216448 is 844612876.

It is a junction number, because it is equal to n+sod(n) for n = 678216398 and 678216407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160993 + ... + 165151.

Almost surely, 2678216448 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 678216448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848178240).

678216448 is an abundant number, since it is smaller than the sum of its proper divisors (1018140032).

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

678216448 is a wasteful number, since it uses less digits than its factorization.

678216448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4181 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 678216448 is about 26042.5891185957. The cubic root of 678216448 is about 878.5964402625.

The spelling of 678216448 in words is "six hundred seventy-eight million, two hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 1792 2548 2912 3136 3328 4159 5096 5824 6272 8318 10192 11648 12544 16636 20384 23296 29113 33272 40768 54067 58226 66544 81536 108134 116452 133088 163072 203791 216268 232904 266176 378469 407582 432536 465808 532352 756938 815164 865072 931616 1064704 1513876 1630328 1730144 1863232 2649283 3027752 3260656 3460288 3726464 5298566 6055504 6521312 6920576 7452928 10597132 12111008 13042624 13841152 21194264 24222016 26085248 42388528 48444032 52170496 84777056 96888064 169554112 339108224 678216448