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38295138 = 23723291367
BaseRepresentation
bin1001001000010…
…1011001100010
32200001121001110
42102011121202
534300421023
63444444150
7643334430
oct222053142
980047043
1038295138
111a686782
12109a9656
137c1a85b
14512bd50
153566a93
hex2485662

38295138 has 64 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 10097472.

The previous prime is 38295133. The next prime is 38295139. The reversal of 38295138 is 83159283.

It is a junction number, because it is equal to n+sod(n) for n = 38295096 and 38295105.

It is not an unprimeable number, because it can be changed into a prime (38295133) 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, 27331 + ... + 28697.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 238295138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38295138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

38295138 is an abundant number, since it is smaller than the sum of its proper divisors (56261022).

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

38295138 is a wasteful number, since it uses less digits than its factorization.

38295138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431.

The product of its digits is 51840, while the sum is 39.

The square root of 38295138 is about 6188.3065534926. The cubic root of 38295138 is about 337.0656888095.

The spelling of 38295138 in words is "thirty-eight million, two hundred ninety-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 1367 2001 2734 4002 4101 4669 8202 9338 9569 14007 19138 28014 28707 31441 39643 57414 62882 79286 94323 118929 188646 220087 237858 277501 440174 555002 660261 832503 911789 1320522 1665006 1823578 2735367 5470734 6382523 12765046 19147569 38295138