Search a number
-
+
38077248 = 263113149
BaseRepresentation
bin1001000101000…
…0001101000000
32122122112011110
42101100031000
534221432443
63440043320
7641436246
oct221201500
978575143
1038077248
111a548000
1210903540
137b72621
1450b2796
153522233
hex2450340

38077248 has 112 divisors (see below), whose sum is σ = 111556800. Its totient is φ = 11461120.

The previous prime is 38077223. The next prime is 38077279. The reversal of 38077248 is 84277083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255478 + ... + 255626.

Almost surely, 238077248 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 38077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55778400).

38077248 is an abundant number, since it is smaller than the sum of its proper divisors (73479552).

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

38077248 is a wasteful number, since it uses less digits than its factorization.

38077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38077248 is about 6170.6764621069. The cubic root of 38077248 is about 336.4251986574.

The spelling of 38077248 in words is "thirty-eight million, seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 149 176 192 242 264 298 352 363 447 484 528 596 704 726 894 968 1056 1192 1331 1452 1639 1788 1936 2112 2384 2662 2904 3278 3576 3872 3993 4768 4917 5324 5808 6556 7152 7744 7986 9536 9834 10648 11616 13112 14304 15972 18029 19668 21296 23232 26224 28608 31944 36058 39336 42592 52448 54087 63888 72116 78672 85184 104896 108174 127776 144232 157344 198319 216348 255552 288464 314688 396638 432696 576928 594957 793276 865392 1153856 1189914 1586552 1730784 2379828 3173104 3461568 4759656 6346208 9519312 12692416 19038624 38077248