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677720472 = 23311131811091
BaseRepresentation
bin101000011001010…
…011000110011000
31202020020202201020
4220121103012120
52341444023342
6151125522440
722536346302
oct5031230630
91666222636
10677720472
11318612470
1216ab73420
13aa53b540
1466018972
153e7710ec
hex28653198

677720472 has 128 divisors (see below), whose sum is σ = 2003339520. Its totient is φ = 188352000.

The previous prime is 677720437. The next prime is 677720479. The reversal of 677720472 is 274027776.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677720479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620647 + ... + 621737.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2677720472 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 677720472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001669760).

677720472 is an abundant number, since it is smaller than the sum of its proper divisors (1325619048).

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

677720472 is a wasteful number, since it uses less digits than its factorization.

677720472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 677720472 is about 26033.0649751427. The cubic root of 677720472 is about 878.3822171011.

The spelling of 677720472 in words is "six hundred seventy-seven million, seven hundred twenty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 181 264 286 312 362 429 543 572 724 858 1086 1091 1144 1448 1716 1991 2172 2182 2353 3273 3432 3982 4344 4364 4706 5973 6546 7059 7964 8728 9412 11946 12001 13092 14118 14183 15928 18824 23892 24002 25883 26184 28236 28366 36003 42549 47784 48004 51766 56472 56732 72006 77649 85098 96008 103532 113464 144012 155298 156013 170196 197471 207064 288024 310596 312026 340392 394942 468039 592413 621192 624052 789884 936078 1184826 1248104 1579768 1872156 2172181 2369652 2567123 3744312 4344362 4739304 5134246 6516543 7701369 8688724 10268492 13033086 15402738 17377448 20536984 26066172 28238353 30805476 52132344 56476706 61610952 84715059 112953412 169430118 225906824 338860236 677720472