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23790208 = 271317292
BaseRepresentation
bin101101011000…
…0001010000000
31122202200000211
41122300022000
522042241313
62205523504
7406133131
oct132601200
948680024
1023790208
1112479a32
127b73594
134c0c660
143233c88
15214de3d
hex16b0280

23790208 has 96 divisors (see below), whose sum is σ = 55970460. Its totient is φ = 9977856.

The previous prime is 23790203. The next prime is 23790253. The reversal of 23790208 is 80209732.

It can be written as a sum of positive squares in 6 ways, for example, as 11343424 + 12446784 = 3368^2 + 3528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23790208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23790203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820338 + ... + 820366.

Almost surely, 223790208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27985230).

23790208 is an abundant number, since it is smaller than the sum of its proper divisors (32180252).

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

23790208 is a wasteful number, since it uses less digits than its factorization.

23790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 23790208 is about 4877.5206816578. The cubic root of 23790208 is about 287.6069741803.

The spelling of 23790208 in words is "twenty-three million, seven hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 17 26 29 32 34 52 58 64 68 104 116 128 136 208 221 232 272 377 416 442 464 493 544 754 832 841 884 928 986 1088 1508 1664 1682 1768 1856 1972 2176 3016 3364 3536 3712 3944 6032 6409 6728 7072 7888 10933 12064 12818 13456 14144 14297 15776 21866 24128 25636 26912 28288 28594 31552 43732 48256 51272 53824 57188 63104 87464 102544 107648 114376 174928 185861 205088 228752 349856 371722 410176 457504 699712 743444 820352 915008 1399424 1486888 1830016 2973776 5947552 11895104 23790208