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45530430 = 23511281491
BaseRepresentation
bin1010110110101…
…1110100111110
310011200012000020
42231223310332
543123433210
64303513010
71062000531
oct255536476
9104605006
1045530430
1123778760
12132b8766
139581baa
146092a18
153ee5770
hex2b6bd3e

45530430 has 64 divisors (see below), whose sum is σ = 119874816. Its totient is φ = 10976000.

The previous prime is 45530411. The next prime is 45530431. The reversal of 45530430 is 3403554.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45530430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45530431) 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 31 ways as a sum of consecutive naturals, for example, 92485 + ... + 92975.

It is an arithmetic number, because the mean of its divisors is an integer number (1873044).

Almost surely, 245530430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45530430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59937408).

45530430 is an abundant number, since it is smaller than the sum of its proper divisors (74344386).

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

45530430 is a wasteful number, since it uses less digits than its factorization.

45530430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45530430 is about 6747.6240262777. The cubic root of 45530430 is about 357.0814179265.

Adding to 45530430 its reverse (3403554), we get a palindrome (48933984).

The spelling of 45530430 in words is "forty-five million, five hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 491 562 843 982 1405 1473 1686 2455 2810 2946 3091 4215 4910 5401 6182 7365 8430 9273 10802 14730 15455 16203 18546 27005 30910 32406 46365 54010 81015 92730 137971 162030 275942 413913 689855 827826 1379710 1517681 2069565 3035362 4139130 4553043 7588405 9106086 15176810 22765215 45530430