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38525136 = 24313107577
BaseRepresentation
bin1001001011110…
…1100011010000
32200111021112220
42102331203100
534330301021
63453421040
7645313116
oct222754320
980437486
1038525136
111a823561
1210a9a780
137c9b450
14518bab6
1535aecc6
hex24bd8d0

38525136 has 80 divisors (see below), whose sum is σ = 108368064. Its totient is φ = 11722752.

The previous prime is 38525129. The next prime is 38525143. The reversal of 38525136 is 63152583.

It is an interprime number because it is at equal distance from previous prime (38525129) and next prime (38525143).

It is a super-2 number, since 2×385251362 = 2968372207636992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38525097 and 38525106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66480 + ... + 67056.

Almost surely, 238525136 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 38525136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54184032).

38525136 is an abundant number, since it is smaller than the sum of its proper divisors (69842928).

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

38525136 is a wasteful number, since it uses less digits than its factorization.

38525136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 38525136 is about 6206.8620090993. The cubic root of 38525136 is about 337.7391402532.

The spelling of 38525136 in words is "thirty-eight million, five hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 577 624 642 856 1154 1284 1391 1712 1731 2308 2568 2782 3462 4173 4616 5136 5564 6924 7501 8346 9232 11128 13848 15002 16692 22256 22503 27696 30004 33384 45006 60008 61739 66768 90012 120016 123478 180024 185217 246956 360048 370434 493912 740868 802607 987824 1481736 1605214 2407821 2963472 3210428 4815642 6420856 9631284 12841712 19262568 38525136