Search a number
-
+
38773728 = 253472137
BaseRepresentation
bin1001001111101…
…0001111100000
32200221220120000
42103322033200
534411224403
63503020000
7650366640
oct223721740
980856500
1038773728
111a983304
1210b9a600
138057646
145214520
15360d7a3
hex24fa3e0

38773728 has 120 divisors (see below), whose sum is σ = 130383792. Its totient is φ = 11073024.

The previous prime is 38773717. The next prime is 38773733. The reversal of 38773728 is 82737783.

38773728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 17076 + ... + 19212.

Almost surely, 238773728 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 38773728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65191896).

38773728 is an abundant number, since it is smaller than the sum of its proper divisors (91610064).

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

38773728 is a wasteful number, since it uses less digits than its factorization.

38773728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2149 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 38773728 is about 6226.8553861480. The cubic root of 38773728 is about 338.4640289285.

The spelling of 38773728 in words is "thirty-eight million, seven hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2137 2268 2592 3024 4274 4536 6048 6411 8548 9072 12822 14959 17096 18144 19233 25644 29918 34192 38466 44877 51288 57699 59836 68384 76932 89754 102576 115398 119672 134631 153864 173097 179508 205152 230796 239344 269262 307728 346194 359016 403893 461592 478688 538524 615456 692388 718032 807786 923184 1077048 1211679 1384776 1436064 1615572 1846368 2154096 2423358 2769552 3231144 4308192 4846716 5539104 6462288 9693432 12924576 19386864 38773728