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38242500 = 223545099
BaseRepresentation
bin1001000111100…
…0100011000100
32122221220211220
42101320203010
534242230000
63443400340
7643025112
oct221704304
978856756
1038242500
111a65017a
12109830b0
137bcc8ca
145116ab2
1535561a0
hex24788c4

38242500 has 60 divisors (see below), whose sum is σ = 111526800. Its totient is φ = 10196000.

The previous prime is 38242487. The next prime is 38242507. The reversal of 38242500 is 524283.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (38242507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4951 + ... + 10049.

It is an arithmetic number, because the mean of its divisors is an integer number (1858780).

Almost surely, 238242500 is an apocalyptic number.

38242500 is a gapful number since it is divisible by the number (30) 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 38242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55763400).

38242500 is an abundant number, since it is smaller than the sum of its proper divisors (73284300).

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

38242500 is a wasteful number, since it uses less digits than its factorization.

38242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38242500 is about 6184.0520696385. The cubic root of 38242500 is about 336.9111818227.

Adding to 38242500 its reverse (524283), we get a palindrome (38766783).

The spelling of 38242500 in words is "thirty-eight million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 1250 1500 1875 2500 3750 5099 7500 10198 15297 20396 25495 30594 50990 61188 76485 101980 127475 152970 254950 305940 382425 509900 637375 764850 1274750 1529700 1912125 2549500 3186875 3824250 6373750 7648500 9560625 12747500 19121250 38242500