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38255440 = 24517231223
BaseRepresentation
bin1001000111101…
…1101101010000
32122222120121011
42101323231100
534243133230
63443540304
7643110616
oct221735520
978876534
1038255440
111a659973
121098a694
137c05772
14511b6b6
153559e2a
hex247bb50

38255440 has 80 divisors (see below), whose sum is σ = 98350848. Its totient is φ = 13764608.

The previous prime is 38255429. The next prime is 38255449. The reversal of 38255440 is 4455283.

38255440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38255449) 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 15 ways as a sum of consecutive naturals, for example, 30669 + ... + 31891.

Almost surely, 238255440 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 38255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49175424).

38255440 is an abundant number, since it is smaller than the sum of its proper divisors (60095408).

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

38255440 is a wasteful number, since it uses less digits than its factorization.

38255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 38255440 is about 6185.0982207237. The cubic root of 38255440 is about 336.9491774128.

The spelling of 38255440 in words is "thirty-eight million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1223 1360 1564 1840 1955 2446 3128 3910 4892 6115 6256 7820 9784 12230 15640 19568 20791 24460 28129 31280 41582 48920 56258 83164 97840 103955 112516 140645 166328 207910 225032 281290 332656 415820 450064 478193 562580 831640 956386 1125160 1663280 1912772 2250320 2390965 3825544 4781930 7651088 9563860 19127720 38255440