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38536542 = 232111911019
BaseRepresentation
bin1001001100000…
…0010101011110
32200111212012100
42103000111132
534331132132
63453545530
7645361302
oct223002536
980455170
1038536542
111a831090
1210aa52a6
137ca36b5
145191d02
1535b337c
hex24c055e

38536542 has 48 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 11605200.

The previous prime is 38536483. The next prime is 38536543. The reversal of 38536542 is 24563583.

It is a happy number.

38536542 is a `hidden beast` number, since 3 + 85 + 36 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38536497 and 38536506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38536543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37309 + ... + 38327.

It is an arithmetic number, because the mean of its divisors is an integer number (1909440).

Almost surely, 238536542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38536542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

38536542 is an abundant number, since it is smaller than the sum of its proper divisors (53116578).

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

38536542 is a wasteful number, since it uses less digits than its factorization.

38536542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1226 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 38536542 is about 6207.7807628814. The cubic root of 38536542 is about 337.7724680397.

The spelling of 38536542 in words is "thirty-eight million, five hundred thirty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 191 198 382 573 1019 1146 1719 2038 2101 3057 3438 4202 6114 6303 9171 11209 12606 18342 18909 22418 33627 37818 67254 100881 194629 201762 389258 583887 1167774 1751661 2140919 3503322 4281838 6422757 12845514 19268271 38536542