Search a number
-
+
45739629 = 32133131249
BaseRepresentation
bin1010111001111…
…0111001101101
310012001210222100
42232132321231
543202132004
64312205313
71063531455
oct256367155
9105053870
1045739629
1123900951
1213399839
139626190
146108d65
154037739
hex2b9ee6d

45739629 has 24 divisors (see below), whose sum is σ = 71435000. Its totient is φ = 28035072.

The previous prime is 45739621. The next prime is 45739637. The reversal of 45739629 is 92693754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45739621) and next prime (45739637).

It can be written as a sum of positive squares in 4 ways, for example, as 1822500 + 43917129 = 1350^2 + 6627^2 .

It is not a de Polignac number, because 45739629 - 23 = 45739621 is a prime.

It is a super-2 number, since 2×457396292 = 4184227322115282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45739621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35997 + ... + 37245.

Almost surely, 245739629 is an apocalyptic number.

It is an amenable number.

45739629 is a deficient number, since it is larger than the sum of its proper divisors (25695371).

45739629 is a wasteful number, since it uses less digits than its factorization.

45739629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1578 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 45739629 is about 6763.1079394018. The cubic root of 45739629 is about 357.6274773190.

The spelling of 45739629 in words is "forty-five million, seven hundred thirty-nine thousand, six hundred twenty-nine".

Divisors: 1 3 9 13 39 117 313 939 1249 2817 3747 4069 11241 12207 16237 36621 48711 146133 390937 1172811 3518433 5082181 15246543 45739629