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38613136 = 2423317331
BaseRepresentation
bin1001001101001…
…1000010010000
32200122202021011
42103103002100
534341110021
63455340304
7646130512
oct223230220
980582234
1038613136
111a883691
1210b21694
137ccc513
1451b1bb2
1535cade1
hex24d3090

38613136 has 40 divisors (see below), whose sum is σ = 78548544. Its totient is φ = 18353280.

The previous prime is 38613121. The next prime is 38613139. The reversal of 38613136 is 63131683.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38613098 and 38613107.

It is not an unprimeable number, because it can be changed into a prime (38613139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116491 + ... + 116821.

Almost surely, 238613136 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 38613136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39274272).

38613136 is an abundant number, since it is smaller than the sum of its proper divisors (39935408).

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

38613136 is a wasteful number, since it uses less digits than its factorization.

38613136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 38613136 is about 6213.9468938831. The cubic root of 38613136 is about 337.9961018656.

The spelling of 38613136 in words is "thirty-eight million, six hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 184 317 331 368 634 662 1268 1324 2536 2648 5072 5296 7291 7613 14582 15226 29164 30452 58328 60904 104927 116656 121808 209854 419708 839416 1678832 2413321 4826642 9653284 19306568 38613136