Search a number
-
+
38955450 = 2352377019
BaseRepresentation
bin1001010010011…
…0100110111010
32201022010211110
42110212212322
534433033300
63510541150
7652054512
oct224464672
981263743
1038955450
111aa97896
12110677b6
1380bc281
145260842
153647550
hex25269ba

38955450 has 48 divisors (see below), whose sum is σ = 99234720. Its totient is φ = 10105920.

The previous prime is 38955421. The next prime is 38955457. The reversal of 38955450 is 5455983.

38955450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38955399 and 38955408.

It is not an unprimeable number, because it can be changed into a prime (38955457) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2041 + ... + 9059.

It is an arithmetic number, because the mean of its divisors is an integer number (2067390).

Almost surely, 238955450 is an apocalyptic number.

38955450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38955450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49617360).

38955450 is an abundant number, since it is smaller than the sum of its proper divisors (60279270).

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

38955450 is a wasteful number, since it uses less digits than its factorization.

38955450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 38955450 is about 6241.4301245788. The cubic root of 38955450 is about 338.9919682054.

The spelling of 38955450 in words is "thirty-eight million, nine hundred fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 7019 14038 21057 35095 42114 70190 105285 175475 210570 259703 350950 519406 526425 779109 1052850 1298515 1558218 2597030 3895545 6492575 7791090 12985150 19477725 38955450