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23052624 = 24371923157
BaseRepresentation
bin101011111110…
…0000101010000
31121101012020220
41113330011100
521400140444
62142033040
7366641550
oct127740520
947335226
1023052624
1112015861
127878780
134a11a0a
1430c1160
152055619
hex15fc150

23052624 has 160 divisors (see below), whose sum is σ = 75233280. Its totient is φ = 5930496.

The previous prime is 23052613. The next prime is 23052637. The reversal of 23052624 is 42625032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 23052594 and 23052603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146754 + ... + 146910.

It is an arithmetic number, because the mean of its divisors is an integer number (470208).

Almost surely, 223052624 is an apocalyptic number.

23052624 is a gapful number since it is divisible by the number (24) 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 23052624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37616640).

23052624 is an abundant number, since it is smaller than the sum of its proper divisors (52180656).

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

23052624 is a wasteful number, since it uses less digits than its factorization.

23052624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 23052624 is about 4801.3148199217. The cubic root of 23052624 is about 284.6034250336.

Adding to 23052624 its reverse (42625032), we get a palindrome (65677656).

The spelling of 23052624 in words is "twenty-three million, fifty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 112 114 133 138 152 157 161 168 184 228 266 276 304 314 322 336 368 399 437 456 471 483 532 552 628 644 798 874 912 942 966 1064 1099 1104 1256 1288 1311 1596 1748 1884 1932 2128 2198 2512 2576 2622 2983 3059 3192 3297 3496 3611 3768 3864 4396 5244 5966 6118 6384 6594 6992 7222 7536 7728 8792 8949 9177 10488 10833 11932 12236 13188 14444 17584 17898 18354 20881 20976 21666 23864 24472 25277 26376 28888 35796 36708 41762 43332 47728 48944 50554 52752 57776 62643 68609 71592 73416 75831 83524 86664 101108 125286 137218 143184 146832 151662 167048 173328 202216 205827 250572 274436 303324 334096 404432 411654 480263 501144 548872 606648 823308 960526 1002288 1097744 1213296 1440789 1646616 1921052 2881578 3293232 3842104 5763156 7684208 11526312 23052624