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38423168 = 277193761
BaseRepresentation
bin1001001010010…
…0101010000000
32200022002200022
42102210222000
534314020133
63451313012
7644406620
oct222445200
980262608
1038423168
111a763993
1210a4b768
137c63c04
145162880
15358e998
hex24a4a80

38423168 has 128 divisors (see below), whose sum is σ = 96124800. Its totient is φ = 14929920.

The previous prime is 38423129. The next prime is 38423171. The reversal of 38423168 is 86132483.

It is a happy number.

38423168 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629858 + ... + 629918.

It is an arithmetic number, because the mean of its divisors is an integer number (750975).

Almost surely, 238423168 is an apocalyptic number.

38423168 is a gapful number since it is divisible by the number (38) 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 38423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48062400).

38423168 is an abundant number, since it is smaller than the sum of its proper divisors (57701632).

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

38423168 is a wasteful number, since it uses less digits than its factorization.

38423168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 38423168 is about 6198.6424320169. The cubic root of 38423168 is about 337.4409019522.

The spelling of 38423168 in words is "thirty-eight million, four hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 61 64 74 76 112 122 128 133 148 152 224 244 259 266 296 304 427 448 488 518 532 592 608 703 854 896 976 1036 1064 1159 1184 1216 1406 1708 1952 2072 2128 2257 2318 2368 2432 2812 3416 3904 4144 4256 4514 4636 4736 4921 5624 6832 7808 8113 8288 8512 9028 9272 9842 11248 13664 15799 16226 16576 17024 18056 18544 19684 22496 27328 31598 32452 33152 36112 37088 39368 42883 44992 54656 63196 64904 72224 74176 78736 85766 89984 126392 129808 144448 148352 157472 171532 252784 259616 288896 300181 314944 343064 505568 519232 600362 629888 686128 1011136 1038464 1200724 1372256 2022272 2401448 2744512 4802896 5489024 9605792 19211584 38423168