Search a number
-
+
33749157 = 313865363
BaseRepresentation
bin1000000010111…
…1100010100101
32100111122010210
42000233202211
532114433112
63203210033
7556602021
oct200574245
970448123
1033749157
1118061272
12b376919
136cb8620
1446a7381
152e69b3c
hex202f8a5

33749157 has 8 divisors (see below), whose sum is σ = 48460384. Its totient is φ = 20768688.

The previous prime is 33749147. The next prime is 33749159. The reversal of 33749157 is 75194733.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33749157 - 28 = 33748901 is a prime.

It is a super-2 number, since 2×337491572 = 2278011196421298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 865363 = 33749157 / (3 + 3 + 7 + 4 + 9 + 1 + 5 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33749159) 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 7 ways as a sum of consecutive naturals, for example, 432643 + ... + 432720.

It is an arithmetic number, because the mean of its divisors is an integer number (6057548).

Almost surely, 233749157 is an apocalyptic number.

It is an amenable number.

33749157 is a deficient number, since it is larger than the sum of its proper divisors (14711227).

33749157 is a wasteful number, since it uses less digits than its factorization.

33749157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865379.

The product of its digits is 79380, while the sum is 39.

The square root of 33749157 is about 5809.4024649700. The cubic root of 33749157 is about 323.1625128328.

It can be divided in two parts, 337 and 49157, that added together give a palindrome (49494).

The spelling of 33749157 in words is "thirty-three million, seven hundred forty-nine thousand, one hundred fifty-seven".

Divisors: 1 3 13 39 865363 2596089 11249719 33749157