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72290426 = 21321723547
BaseRepresentation
bin1000100111100…
…01000001111010
312001000201211012
410103301001322
5122001243201
611101233522
71535313155
oct423610172
9161021735
1072290426
113789595a
12202628a2
1311c91200
14985ac9c
15652e5bb
hex44f107a

72290426 has 48 divisors (see below), whose sum is σ = 129968064. Its totient is φ = 29981952.

The previous prime is 72290423. The next prime is 72290431. The reversal of 72290426 is 62409227.

It is a super-3 number, since 3×722904263 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72290392 and 72290401.

It is not an unprimeable number, because it can be changed into a prime (72290423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131885 + ... + 132431.

It is an arithmetic number, because the mean of its divisors is an integer number (2707668).

Almost surely, 272290426 is an apocalyptic number.

72290426 is a deficient number, since it is larger than the sum of its proper divisors (57677638).

72290426 is a wasteful number, since it uses less digits than its factorization.

72290426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 72290426 is about 8502.3776674528. The cubic root of 72290426 is about 416.5753756975.

The spelling of 72290426 in words is "seventy-two million, two hundred ninety thousand, four hundred twenty-six".

Divisors: 1 2 13 17 23 26 34 46 169 221 299 338 391 442 547 598 782 1094 2873 3887 5083 5746 7111 7774 9299 10166 12581 14222 18598 25162 66079 92443 120887 132158 163553 184886 213877 241774 327106 427754 1571531 2126189 2780401 3143062 4252378 5560802 36145213 72290426