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677620992 = 2831635413
BaseRepresentation
bin101000011000111…
…010110100000000
31202020001201020210
4220120322310000
52341432332432
6151123434120
722535453256
oct5030726400
91666051223
10677620992
11318554754
1216ab25940
13aa505189
1465dd05d6
153e7518cc
hex2863ad00

677620992 has 72 divisors (see below), whose sum is σ = 1814859424. Its totient is φ = 224446464.

The previous prime is 677620987. The next prime is 677621017. The reversal of 677620992 is 299026776.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122478 + ... + 127890.

Almost surely, 2677620992 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 677620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907429712).

677620992 is an abundant number, since it is smaller than the sum of its proper divisors (1137238432).

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

677620992 is a wasteful number, since it uses less digits than its factorization.

677620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 677620992 is about 26031.1542579272. The cubic root of 677620992 is about 878.3392368743.

The spelling of 677620992 in words is "six hundred seventy-seven million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 652 768 978 1304 1956 2608 3912 5216 5413 7824 10432 10826 15648 16239 20864 21652 31296 32478 41728 43304 62592 64956 86608 125184 129912 173216 259824 346432 519648 692864 882319 1039296 1385728 1764638 2078592 2646957 3529276 4157184 5293914 7058552 10587828 14117104 21175656 28234208 42351312 56468416 84702624 112936832 169405248 225873664 338810496 677620992