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23046426 = 23213149661
BaseRepresentation
bin101011111101…
…0100100011010
31121100212202100
41113322210122
521344441201
62141544230
7366614514
oct127724432
947325670
1023046426
1112011137
127875076
134a0bc50
1430bcbb4
152053886
hex15fa91a

23046426 has 48 divisors (see below), whose sum is σ = 54217800. Its totient is φ = 7032960.

The previous prime is 23046421. The next prime is 23046431. The reversal of 23046426 is 62464032.

23046426 is a `hidden beast` number, since 230 + 4 + 6 + 426 = 666.

It is an interprime number because it is at equal distance from previous prime (23046421) and next prime (23046431).

It can be written as a sum of positive squares in 4 ways, for example, as 14630625 + 8415801 = 3825^2 + 2901^2 .

It is a super-2 number, since 2×230464262 = 1062275502746952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23046426.

It is not an unprimeable number, because it can be changed into a prime (23046421) 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, 34536 + ... + 35196.

Almost surely, 223046426 is an apocalyptic number.

23046426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23046426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27108900).

23046426 is an abundant number, since it is smaller than the sum of its proper divisors (31171374).

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

23046426 is a wasteful number, since it uses less digits than its factorization.

23046426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23046426 is about 4800.6693283333. The cubic root of 23046426 is about 284.5779162941.

It can be divided in two parts, 230 and 46426, that added together give a 6-th power (46656 = 66).

The spelling of 23046426 in words is "twenty-three million, forty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 661 894 1322 1341 1937 1983 2682 3874 3966 5811 5949 8593 11622 11898 17186 17433 25779 34866 51558 77337 98489 154674 196978 295467 590934 886401 1280357 1772802 2560714 3841071 7682142 11523213 23046426