Search a number
-
+
38155104 = 2533134379
BaseRepresentation
bin1001000110001…
…1001101100000
32122210110222000
42101203031200
534231430404
63441444000
7642212241
oct221431540
978713860
1038155104
111a5a0549
1210940600
137b9bbb0
1450d2cc8
15353a339
hex2463360

38155104 has 192 divisors, whose sum is σ = 124185600. Its totient is φ = 11321856.

The previous prime is 38155087. The next prime is 38155109. The reversal of 38155104 is 40155183.

It is a super-2 number, since 2×381551042 = 2911623922501632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38155109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482937 + ... + 483015.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 238155104 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 38155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

38155104 is an abundant number, since it is smaller than the sum of its proper divisors (86030496).

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

38155104 is a wasteful number, since it uses less digits than its factorization.

38155104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 38155104 is about 6176.9817872485. The cubic root of 38155104 is about 336.6543371406.

The spelling of 38155104 in words is "thirty-eight million, one hundred fifty-five thousand, one hundred four".