Search a number
-
+
38868102 = 23271361389
BaseRepresentation
bin1001010001000…
…1010010000110
32201010201000100
42110101102012
534422234402
63505024530
7651242040
oct224212206
981121010
1038868102
111aa381a9
1211025146
13808b5a0
14523aa90
15362b71c
hex2511486

38868102 has 96 divisors (see below), whose sum is σ = 105618240. Its totient is φ = 10056960.

The previous prime is 38868101. The next prime is 38868113. The reversal of 38868102 is 20186883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38868101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99724 + ... + 100112.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190).

Almost surely, 238868102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38868102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52809120).

38868102 is an abundant number, since it is smaller than the sum of its proper divisors (66750138).

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

38868102 is a wasteful number, since it uses less digits than its factorization.

38868102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38868102 is about 6234.4287629261. The cubic root of 38868102 is about 338.7384099374.

The spelling of 38868102 in words is "thirty-eight million, eight hundred sixty-eight thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 61 63 78 91 117 122 126 182 183 234 273 366 389 427 546 549 778 793 819 854 1098 1167 1281 1586 1638 2334 2379 2562 2723 3501 3843 4758 5057 5446 5551 7002 7137 7686 8169 10114 11102 14274 15171 16338 16653 23729 24507 30342 33306 35399 45513 47458 49014 49959 70798 71187 91026 99918 106197 142374 166103 212394 213561 308477 318591 332206 427122 498309 616954 637182 925431 996618 1494927 1850862 2159339 2776293 2989854 4318678 5552586 6478017 12956034 19434051 38868102