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38139336 = 233523853
BaseRepresentation
bin1001000101111…
…1010111001000
32122202200100000
42101133113020
534230424321
63441243000
7642115254
oct221372710
978680300
1038139336
111a58a714
1210933460
137b94971
1450cb264
153535826
hex245f5c8

38139336 has 96 divisors (see below), whose sum is σ = 111908160. Its totient is φ = 12146112.

The previous prime is 38139329. The next prime is 38139337. The reversal of 38139336 is 63393183.

38139336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38139336.

It is not an unprimeable number, because it can be changed into a prime (38139337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44286 + ... + 45138.

It is an arithmetic number, because the mean of its divisors is an integer number (1165710).

Almost surely, 238139336 is an apocalyptic number.

38139336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38139336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55954080).

38139336 is an abundant number, since it is smaller than the sum of its proper divisors (73768824).

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

38139336 is a wasteful number, since it uses less digits than its factorization.

38139336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 38139336 is about 6175.7053038499. The cubic root of 38139336 is about 336.6079554298.

The spelling of 38139336 in words is "thirty-eight million, one hundred thirty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 853 972 1242 1656 1706 1863 1944 2484 2559 3412 3726 4968 5118 5589 6824 7452 7677 10236 11178 14904 15354 19619 20472 22356 23031 30708 39238 44712 46062 58857 61416 69093 78476 92124 117714 138186 156952 176571 184248 207279 235428 276372 353142 414558 470856 529713 552744 706284 829116 1059426 1412568 1589139 1658232 2118852 3178278 4237704 4767417 6356556 9534834 12713112 19069668 38139336