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72429269 = 1122920641
BaseRepresentation
bin1000101000100…
…10111011010101
312001021210021112
410110102323111
5122020214034
611104224405
71536432023
oct424227325
9161253245
1072429269
1137980200
122030b105
131200c473
149895713
15655a7ce
hex4512ed5

72429269 has 12 divisors (see below), whose sum is σ = 82361580. Its totient is φ = 63571200.

The previous prime is 72429257. The next prime is 72429289. The reversal of 72429269 is 96292427.

It can be written as a sum of positive squares in 2 ways, for example, as 23639044 + 48790225 = 4862^2 + 6985^2 .

It is not a de Polignac number, because 72429269 - 224 = 55652053 is a prime.

It is a super-2 number, since 2×724292692 = 10491998015748722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72429229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6812 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (6863465).

Almost surely, 272429269 is an apocalyptic number.

It is an amenable number.

72429269 is a deficient number, since it is larger than the sum of its proper divisors (9932311).

72429269 is a wasteful number, since it uses less digits than its factorization.

72429269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20692 (or 20681 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 72429269 is about 8510.5387021034. The cubic root of 72429269 is about 416.8419005509.

The spelling of 72429269 in words is "seventy-two million, four hundred twenty-nine thousand, two hundred sixty-nine".

Divisors: 1 11 29 121 319 3509 20641 227051 598589 2497561 6584479 72429269