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23426832 = 24311133413
BaseRepresentation
bin101100101011…
…1011100010000
31122002012120110
41121113130100
521444124312
62154041320
7403060542
oct131273420
948065513
1023426832
1112250a20
127a19240
134b13140
14317b692
1520cb43c
hex1657710

23426832 has 80 divisors (see below), whose sum is σ = 71120448. Its totient is φ = 6551040.

The previous prime is 23426827. The next prime is 23426839. The reversal of 23426832 is 23862432.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23426832.

It is not an unprimeable number, because it can be changed into a prime (23426839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5158 + ... + 8570.

Almost surely, 223426832 is an apocalyptic number.

23426832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23426832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35560224).

23426832 is an abundant number, since it is smaller than the sum of its proper divisors (47693616).

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

23426832 is a wasteful number, since it uses less digits than its factorization.

23426832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3442 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 23426832 is about 4840.1272710539. The cubic root of 23426832 is about 286.1351342745.

Subtracting 23426832 from its reverse (23862432), we obtain a square (435600 = 6602).

The spelling of 23426832 in words is "twenty-three million, four hundred twenty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3413 3432 6826 6864 10239 13652 20478 27304 37543 40956 44369 54608 75086 81912 88738 112629 133107 150172 163824 177476 225258 266214 300344 354952 450516 488059 532428 600688 709904 901032 976118 1064856 1464177 1802064 1952236 2129712 2928354 3904472 5856708 7808944 11713416 23426832