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677054712 = 233371017549
BaseRepresentation
bin101000010110110…
…000100011111000
31202011222221110110
4220112300203320
52341311222322
6151103344320
722530604305
oct5026604370
91664887413
10677054712
113181a8254
1216a8b20a0
13aa3674b9
1465cc40ac
153e68dc0c
hex285b08f8

677054712 has 64 divisors (see below), whose sum is σ = 1755828000. Its totient is φ = 217382400.

The previous prime is 677054687. The next prime is 677054713. The reversal of 677054712 is 217450776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677054713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85914 + ... + 93462.

Almost surely, 2677054712 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 677054712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877914000).

677054712 is an abundant number, since it is smaller than the sum of its proper divisors (1078773288).

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

677054712 is a wasteful number, since it uses less digits than its factorization.

677054712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7696 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 677054712 is about 26020.2750177626. The cubic root of 677054712 is about 878.0944960499.

The spelling of 677054712 in words is "six hundred seventy-seven million, fifty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 404 444 606 808 888 1212 2424 3737 7474 7549 11211 14948 15098 22422 22647 29896 30196 44844 45294 60392 89688 90588 181176 279313 558626 762449 837939 1117252 1524898 1675878 2234504 2287347 3049796 3351756 4574694 6099592 6703512 9149388 18298776 28210613 56421226 84631839 112842452 169263678 225684904 338527356 677054712