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96977728 = 2643131269
BaseRepresentation
bin1011100011111…
…00001101000000
320202110222102201
411301330031000
5144311241403
613342322544
72255203621
oct561741500
9222428381
1096977728
114a817891
1228589454
1317125c93
14cc45a48
1587a921d
hex5c7c340

96977728 has 56 divisors (see below), whose sum is σ = 199156320. Its totient is φ = 46824960.

The previous prime is 96977723. The next prime is 96977731. The reversal of 96977728 is 82777969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96977723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360378 + ... + 360646.

Almost surely, 296977728 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 96977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

96977728 is an abundant number, since it is smaller than the sum of its proper divisors (102178592).

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

96977728 is a wasteful number, since it uses less digits than its factorization.

96977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 55.

The square root of 96977728 is about 9847.7270473953. The cubic root of 96977728 is about 459.4349204882.

The spelling of 96977728 in words is "ninety-six million, nine hundred seventy-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 131 172 262 269 344 524 538 688 1048 1076 1376 2096 2152 2752 4192 4304 5633 8384 8608 11266 11567 17216 22532 23134 35239 45064 46268 70478 90128 92536 140956 180256 185072 281912 360512 370144 563824 740288 1127648 1515277 2255296 3030554 6061108 12122216 24244432 48488864 96977728