Search a number
-
+
39193272 = 2332683797
BaseRepresentation
bin1001010110000…
…0101010111000
32201202020001200
42111200222320
540013141042
63520014200
7654065046
oct225405270
981666050
1039193272
112013a538
1211161360
1381735b1
1452c3396
153692c4c
hex2560ab8

39193272 has 48 divisors (see below), whose sum is σ = 106437240. Its totient is φ = 13028928.

The previous prime is 39193261. The next prime is 39193277. The reversal of 39193272 is 27239193.

It is a super-3 number, since 3×391932723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39193277) 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 11 ways as a sum of consecutive naturals, for example, 48778 + ... + 49574.

Almost surely, 239193272 is an apocalyptic number.

It is an amenable number.

39193272 is an abundant number, since it is smaller than the sum of its proper divisors (67243968).

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

39193272 is a wasteful number, since it uses less digits than its factorization.

39193272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1485 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 39193272 is about 6260.4530187519. The cubic root of 39193272 is about 339.6804148075.

The spelling of 39193272 in words is "thirty-nine million, one hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 683 797 1366 1594 2049 2391 2732 3188 4098 4782 5464 6147 6376 7173 8196 9564 12294 14346 16392 19128 24588 28692 49176 57384 544351 1088702 1633053 2177404 3266106 4354808 4899159 6532212 9798318 13064424 19596636 39193272