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677311152 = 243711317839
BaseRepresentation
bin101000010111101…
…111001010110000
31202012110222020020
4220113233022300
52341342424102
6151113043440
722533023040
oct5027571260
91665428206
10677311152
11318362991
1216a9b6580
13aa42713b
1465d4d720
153e6debbc
hex285ef2b0

677311152 has 80 divisors (see below), whose sum is σ = 2017489920. Its totient is φ = 191794176.

The previous prime is 677311147. The next prime is 677311181. The reversal of 677311152 is 251113776.

677311152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29049 + ... + 46887.

It is an arithmetic number, because the mean of its divisors is an integer number (25218624).

Almost surely, 2677311152 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 677311152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008744960).

677311152 is an abundant number, since it is smaller than the sum of its proper divisors (1340178768).

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

677311152 is a wasteful number, since it uses less digits than its factorization.

677311152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970 (or 17964 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 677311152 is about 26025.2022470528. The cubic root of 677311152 is about 878.2053438761.

The spelling of 677311152 in words is "six hundred seventy-seven million, three hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 9492 12656 17839 18984 35678 37968 53517 71356 107034 124873 142712 214068 249746 285424 374619 428136 499492 749238 856272 998984 1498476 1997968 2015807 2996952 4031614 5993904 6047421 8063228 12094842 14110649 16126456 24189684 28221298 32252912 42331947 48379368 56442596 84663894 96758736 112885192 169327788 225770384 338655576 677311152