Search a number
-
+
38850288 = 24319411039
BaseRepresentation
bin1001010000110…
…0111011110000
32201002210120120
42110030323300
534421202123
63504410240
7651136101
oct224147360
981083516
1038850288
111aa25884
1211016980
138083449
1452343a8
1536262e3
hex250cef0

38850288 has 80 divisors (see below), whose sum is σ = 108326400. Its totient is φ = 11957760.

The previous prime is 38850281. The next prime is 38850293. The reversal of 38850288 is 88205883.

It is a Cunningham number, because it is equal to 62332-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38850281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36873 + ... + 37911.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 238850288 is an apocalyptic number.

38850288 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 38850288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

38850288 is an abundant number, since it is smaller than the sum of its proper divisors (69476112).

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

38850288 is a wasteful number, since it uses less digits than its factorization.

38850288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 38850288 is about 6232.9999197818. Note that the first 4 decimals coincide. The cubic root of 38850288 is about 338.6866519161.

The spelling of 38850288 in words is "thirty-eight million, eight hundred fifty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 456 492 656 779 912 984 1039 1558 1968 2078 2337 3116 3117 4156 4674 6232 6234 8312 9348 12464 12468 16624 18696 19741 24936 37392 39482 42599 49872 59223 78964 85198 118446 127797 157928 170396 236892 255594 315856 340792 473784 511188 681584 809381 947568 1022376 1618762 2044752 2428143 3237524 4856286 6475048 9712572 12950096 19425144 38850288