Search a number
-
+
3739995 = 325731383
BaseRepresentation
bin1110010001000101011011
321001000022100
432101011123
51424134440
6212054443
743534530
oct16210533
97030270
103739995
112124a06
121304423
13a0c41c
146d4d87
154dd230
hex39115b

3739995 has 48 divisors (see below), whose sum is σ = 7667712. Its totient is φ = 1650240.

The previous prime is 3739993. The next prime is 3739999. The reversal of 3739995 is 5999373.

3739995 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3739995 - 21 = 3739993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 3739995.

It is not an unprimeable number, because it can be changed into a prime (3739991) 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 47 ways as a sum of consecutive naturals, for example, 9574 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (159744).

Almost surely, 23739995 is an apocalyptic number.

3739995 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3739995 is an abundant number, since it is smaller than the sum of its proper divisors (3927717).

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

3739995 is a wasteful number, since it uses less digits than its factorization.

3739995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its digits is 229635, while the sum is 45.

The square root of 3739995 is about 1933.9066678617. The cubic root of 3739995 is about 155.2233339655.

The spelling of 3739995 in words is "three million, seven hundred thirty-nine thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 383 465 651 1085 1149 1395 1915 1953 2681 3255 3447 5745 8043 9765 11873 13405 17235 24129 35619 40215 59365 83111 106857 120645 178095 249333 415555 534285 747999 1246665 3739995