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45690435 = 3257314679
BaseRepresentation
bin1010111001001…
…0111001000011
310011222022111100
42232102321003
543144043220
64311145443
71063235160
oct256227103
9104868440
1045690435
112387799a
1213375283
13960997b
1460d5067
154027d90
hex2b92e43

45690435 has 48 divisors (see below), whose sum is σ = 93450240. Its totient is φ = 20208960.

The previous prime is 45690431. The next prime is 45690451. The reversal of 45690435 is 53409654.

It is a happy number.

45690435 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 45690435 - 22 = 45690431 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45690435.

It is not an unprimeable number, because it can be changed into a prime (45690431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7426 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (1946880).

Almost surely, 245690435 is an apocalyptic number.

45690435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45690435 is an abundant number, since it is smaller than the sum of its proper divisors (47759805).

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

45690435 is a wasteful number, since it uses less digits than its factorization.

45690435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45690435 is about 6759.4700236039. The cubic root of 45690435 is about 357.4992191940.

The spelling of 45690435 in words is "forty-five million, six hundred ninety thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 4679 9765 14037 23395 32753 42111 70185 98259 145049 163765 210555 294777 435147 491295 725245 1015343 1305441 1473885 2175735 3046029 5076715 6527205 9138087 15230145 45690435