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69928096 = 257323277
BaseRepresentation
bin1000010101100…
…00010010100000
311212120201022111
410022300102200
5120400144341
610534445104
71506244000
oct412602240
9155521274
1069928096
1136522017
121b503794
1311644b94
149404000
156214681
hex42b04a0

69928096 has 96 divisors (see below), whose sum is σ = 168134400. Its totient is φ = 28562688.

The previous prime is 69928093. The next prime is 69928139. The reversal of 69928096 is 69082996.

It is a happy number.

It is a super-2 number, since 2×699280962 = 9779877220370432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69928091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252310 + ... + 252586.

It is an arithmetic number, because the mean of its divisors is an integer number (1751400).

Almost surely, 269928096 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 69928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84067200).

69928096 is an abundant number, since it is smaller than the sum of its proper divisors (98206304).

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

69928096 is a wasteful number, since it uses less digits than its factorization.

69928096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 69928096 is about 8362.3020753857. The cubic root of 69928096 is about 411.9873688276.

The spelling of 69928096 in words is "sixty-nine million, nine hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 277 322 343 368 392 554 644 686 736 784 1108 1127 1288 1372 1568 1939 2216 2254 2576 2744 3878 4432 4508 5152 5488 6371 7756 7889 8864 9016 10976 12742 13573 15512 15778 18032 25484 27146 31024 31556 36064 44597 50968 54292 62048 63112 89194 95011 101936 108584 126224 178388 190022 203872 217168 252448 312179 356776 380044 434336 624358 713552 760088 1248716 1427104 1520176 2185253 2497432 3040352 4370506 4994864 8741012 9989728 17482024 34964048 69928096