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38852658 = 23213237219
BaseRepresentation
bin1001010000110…
…1100000110010
32201002220211100
42110031200302
534421241113
63504425230
7651146025
oct224154062
981086740
1038852658
111aa27639
1211018216
138084550
1452351bc
153626d73
hex250d832

38852658 has 48 divisors (see below), whose sum is σ = 94610880. Its totient is φ = 11433312.

The previous prime is 38852629. The next prime is 38852659. The reversal of 38852658 is 85625883.

It is a happy number.

38852658 is a `hidden beast` number, since 388 + 5 + 265 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (38852659) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773 + ... + 8991.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 238852658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38852658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305440).

38852658 is an abundant number, since it is smaller than the sum of its proper divisors (55758222).

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

38852658 is a wasteful number, since it uses less digits than its factorization.

38852658 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7260 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 38852658 is about 6233.1900340035. The cubic root of 38852658 is about 338.6935387895.

The spelling of 38852658 in words is "thirty-eight million, eight hundred fifty-two thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 7219 14438 21657 43314 64971 93847 129942 166037 187694 281541 332074 498111 563082 844623 996222 1494333 1689246 2158481 2988666 4316962 6475443 12950886 19426329 38852658