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269496072 = 23342914341
BaseRepresentation
bin10000000100000…
…010111100001000
3200210002211010000
4100010002330020
51022442333242
642424123000
76451451556
oct2004027410
9623084100
10269496072
1112913a42a
1276306460
1343aaa641
1427b12bd6
15189d5a4c
hex10102f08

269496072 has 80 divisors (see below), whose sum is σ = 780921900. Its totient is φ = 86728320.

The previous prime is 269496067. The next prime is 269496077. The reversal of 269496072 is 270694962.

It is an interprime number because it is at equal distance from previous prime (269496067) and next prime (269496077).

It can be written as a sum of positive squares in 2 ways, for example, as 243547236 + 25948836 = 15606^2 + 5094^2 .

It is not an unprimeable number, because it can be changed into a prime (269496077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11622 + ... + 25962.

Almost surely, 2269496072 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 269496072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390460950).

269496072 is an abundant number, since it is smaller than the sum of its proper divisors (511425828).

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

269496072 is a wasteful number, since it uses less digits than its factorization.

269496072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14388 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 269496072 is about 16416.3355228870. The cubic root of 269496072 is about 645.9280528972.

The spelling of 269496072 in words is "two hundred sixty-nine million, four hundred ninety-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 6264 9396 14341 18792 28682 43023 57364 86046 114728 129069 172092 258138 344184 387207 415889 516276 774414 831778 1032552 1161621 1247667 1548828 1663556 2323242 2495334 3097656 3327112 3743001 4646484 4990668 7486002 9292968 9981336 11229003 14972004 22458006 29944008 33687009 44916012 67374018 89832024 134748036 269496072