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40233424 = 24711172113
BaseRepresentation
bin1001100101111…
…0100111010000
32210201001212211
42121132213100
540244432144
63554201504
7665656420
oct231364720
983631784
1040233424
112078aa70
1211583294
138448b7a
1454b4480
1537eb034
hex265e9d0

40233424 has 120 divisors (see below), whose sum is σ = 104154048. Its totient is φ = 14622720.

The previous prime is 40233409. The next prime is 40233449. The reversal of 40233424 is 42433204.

40233424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 40233395 and 40233404.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 355992 + ... + 356104.

Almost surely, 240233424 is an apocalyptic number.

40233424 is a gapful number since it is divisible by the number (44) 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 40233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52077024).

40233424 is an abundant number, since it is smaller than the sum of its proper divisors (63920624).

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

40233424 is a wasteful number, since it uses less digits than its factorization.

40233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 40233424 is about 6342.9822638882. The cubic root of 40233424 is about 342.6591485142.

Adding to 40233424 its reverse (42433204), we get a palindrome (82666628).

It can be divided in two parts, 4023 and 3424, that added together give a palindrome (7447).

The spelling of 40233424 in words is "forty million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 113 119 136 154 176 187 226 238 272 289 308 374 452 476 578 616 748 791 904 952 1156 1232 1243 1309 1496 1582 1808 1904 1921 2023 2312 2486 2618 2992 3164 3179 3842 4046 4624 4972 5236 6328 6358 7684 8092 8701 9944 10472 12656 12716 13447 15368 16184 17402 19888 20944 21131 22253 25432 26894 30736 32368 32657 34804 42262 44506 50864 53788 65314 69608 84524 89012 107576 130628 139216 147917 169048 178024 215152 228599 261256 295834 338096 356048 359227 457198 522512 591668 718454 914396 1183336 1436908 1828792 2366672 2514589 2873816 3657584 5029178 5747632 10058356 20116712 40233424