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69764256 = 2532298353
BaseRepresentation
bin1000010100010…
…00010010100000
311212021101120100
410022020102200
5120324424011
610531142400
71504662222
oct412102240
9155241510
1069764256
113641aa11
121b444a00
13115b8433
1493a0412
1561d0d56
hex42884a0

69764256 has 72 divisors (see below), whose sum is σ = 205257780. Its totient is φ = 22450176.

The previous prime is 69764237. The next prime is 69764263. The reversal of 69764256 is 65246796.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 608400 = 8316^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4176 + ... + 12528.

Almost surely, 269764256 is an apocalyptic number.

It is a pronic number, being equal to 8352×8353.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69764256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102628890).

69764256 is an abundant number, since it is smaller than the sum of its proper divisors (135493524).

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

69764256 is a wasteful number, since it uses less digits than its factorization.

69764256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398 (or 8387 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 69764256 is about 8352.4999850344. The cubic root of 69764256 is about 411.6653580760.

The spelling of 69764256 in words is "sixty-nine million, seven hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 8353 16706 25059 33412 50118 66824 75177 100236 133648 150354 200472 242237 267296 300708 400944 484474 601416 726711 801888 968948 1202832 1453422 1937896 2180133 2405664 2906844 3875792 4360266 5813688 7751584 8720532 11627376 17441064 23254752 34882128 69764256