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38945104 = 2411792801
BaseRepresentation
bin1001010010010…
…0000101010000
32201021121122021
42110210011100
534432220404
63510421224
7652012402
oct224440520
981247567
1038945104
111aa90040
1211061814
1380b7653
14525ab72
153644454
hex2524150

38945104 has 40 divisors (see below), whose sum is σ = 83387520. Its totient is φ = 17472000.

The previous prime is 38945059. The next prime is 38945107. The reversal of 38945104 is 40154983.

It is a super-2 number, since 2×389451042 = 3033442251141632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38945104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38945107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12504 + ... + 15304.

It is an arithmetic number, because the mean of its divisors is an integer number (2084688).

Almost surely, 238945104 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 38945104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41693760).

38945104 is an abundant number, since it is smaller than the sum of its proper divisors (44442416).

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

38945104 is a wasteful number, since it uses less digits than its factorization.

38945104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 38945104 is about 6240.6012530845. The cubic root of 38945104 is about 338.9619551055.

It can be divided in two parts, 3894 and 5104, that added together give a palindrome (8998).

The spelling of 38945104 in words is "thirty-eight million, nine hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 632 869 1264 1738 2801 3476 5602 6952 11204 13904 22408 30811 44816 61622 123244 221279 246488 442558 492976 885116 1770232 2434069 3540464 4868138 9736276 19472552 38945104