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45405204 = 223133141229
BaseRepresentation
bin1010110100110…
…1010000010100
310011102211020020
42231031100110
543110431304
64301105140
71060636455
oct255152024
9104384206
1045405204
11236a2669
12132581b0
139539bb0
14605d12c
153ebd5d9
hex2b4d414

45405204 has 96 divisors (see below), whose sum is σ = 121175040. Its totient is φ = 13132800.

The previous prime is 45405203. The next prime is 45405209. The reversal of 45405204 is 40250454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45405203) 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 31 ways as a sum of consecutive naturals, for example, 198162 + ... + 198390.

It is an arithmetic number, because the mean of its divisors is an integer number (1262240).

Almost surely, 245405204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45405204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60587520).

45405204 is an abundant number, since it is smaller than the sum of its proper divisors (75769836).

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

45405204 is a wasteful number, since it uses less digits than its factorization.

45405204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45405204 is about 6738.3383708448. The cubic root of 45405204 is about 356.7537474314.

Adding to 45405204 its reverse (40250454), we get a palindrome (85655658).

The spelling of 45405204 in words is "forty-five million, four hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 41 52 62 78 82 93 123 124 156 164 186 229 246 372 403 458 492 533 687 806 916 1066 1209 1271 1374 1599 1612 2132 2418 2542 2748 2977 3198 3813 4836 5084 5954 6396 7099 7626 8931 9389 11908 14198 15252 16523 17862 18778 21297 28167 28396 33046 35724 37556 42594 49569 56334 66092 85188 92287 99138 112668 122057 184574 198276 244114 276861 291059 366171 369148 488228 553722 582118 732342 873177 1107444 1164236 1464684 1746354 3492708 3783767 7567534 11351301 15135068 22702602 45405204