Search a number
-
+
38229128 = 2372367443
BaseRepresentation
bin1001000111010…
…1010010001000
32122221020111122
42101311102020
534241313003
63443214412
7642641120
oct221652210
978836448
1038229128
111a641123
1210977408
137bc67b2
145111c80
153552238
hex2475488

38229128 has 64 divisors (see below), whose sum is σ = 86952960. Its totient is φ = 15402816.

The previous prime is 38229119. The next prime is 38229131. The reversal of 38229128 is 82192283.

It is a super-2 number, since 2×382291282 = 2922932455280768, which contains 22 as substring.

It is a congruent number.

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, 86075 + ... + 86517.

It is an arithmetic number, because the mean of its divisors is an integer number (1358640).

Almost surely, 238229128 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 38229128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43476480).

38229128 is an abundant number, since it is smaller than the sum of its proper divisors (48723832).

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

38229128 is a wasteful number, since it uses less digits than its factorization.

38229128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 542 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 38229128 is about 6182.9708069827. The cubic root of 38229128 is about 336.8719087493.

The spelling of 38229128 in words is "thirty-eight million, two hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 443 469 536 644 886 938 1288 1541 1772 1876 3082 3101 3544 3752 6164 6202 10189 10787 12328 12404 20378 21574 24808 29681 40756 43148 59362 71323 81512 86296 118724 142646 207767 237448 285292 415534 570584 682663 831068 1365326 1662136 2730652 4778641 5461304 9557282 19114564 38229128