Search a number
-
+
38972700 = 223252133331
BaseRepresentation
bin1001010010101…
…0110100011100
32201100000111100
42110222310130
534434111300
63511153100
7652156014
oct224526434
981300440
1038972700
111aaa9848
1211075790
1380c7090
145266c44
15364c700
hex252ad1c

38972700 has 108 divisors (see below), whose sum is σ = 131594008. Its totient is φ = 9590400.

The previous prime is 38972699. The next prime is 38972711. The reversal of 38972700 is 727983.

38972700 is a `hidden beast` number, since 389 + 7 + 270 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10035 + ... + 13365.

Almost surely, 238972700 is an apocalyptic number.

38972700 is a gapful number since it is divisible by the number (30) 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 38972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65797004).

38972700 is an abundant number, since it is smaller than the sum of its proper divisors (92621308).

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

38972700 is a wasteful number, since it uses less digits than its factorization.

38972700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 38972700 is about 6242.8118664589. The cubic root of 38972700 is about 339.0419975640.

The spelling of 38972700 in words is "thirty-eight million, nine hundred seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3331 3900 5850 6662 9993 11700 13324 16655 19986 29979 33310 39972 43303 49965 59958 66620 83275 86606 99930 119916 129909 149895 166550 173212 199860 216515 249825 259818 299790 333100 389727 433030 499650 519636 599580 649545 749475 779454 866060 999300 1082575 1299090 1498950 1558908 1948635 2165150 2598180 2997900 3247725 3897270 4330300 6495450 7794540 9743175 12990900 19486350 38972700