Search a number
-
+
38298036 = 22372343461
BaseRepresentation
bin1001001000011…
…0000110110100
32200001202000210
42102012012310
534301014121
63444505420
7643346040
oct222060664
980052023
1038298036
111a688977
12109ab270
137c1bc7a
14512d020
153567876
hex24861b4

38298036 has 96 divisors (see below), whose sum is σ = 109283328. Its totient is φ = 10200960.

The previous prime is 38298023. The next prime is 38298037. The reversal of 38298036 is 63089283.

It is a super-2 number, since 2×382980362 = 2933479122914592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38297985 and 38298003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38298037) 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, 82846 + ... + 83306.

It is an arithmetic number, because the mean of its divisors is an integer number (1138368).

Almost surely, 238298036 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 38298036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54641664).

38298036 is an abundant number, since it is smaller than the sum of its proper divisors (70985292).

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

38298036 is a wasteful number, since it uses less digits than its factorization.

38298036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 38298036 is about 6188.5407003590. The cubic root of 38298036 is about 337.0741911223.

The spelling of 38298036 in words is "thirty-eight million, two hundred ninety-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 461 483 516 602 644 903 922 966 989 1204 1383 1806 1844 1932 1978 2766 2967 3227 3612 3956 5532 5934 6454 6923 9681 10603 11868 12908 13846 19362 19823 20769 21206 27692 31809 38724 39646 41538 42412 59469 63618 74221 79292 83076 118938 127236 138761 148442 222663 237876 277522 296884 416283 445326 455929 555044 832566 890652 911858 1367787 1665132 1823716 2735574 3191503 5471148 6383006 9574509 12766012 19149018 38298036