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45054520 = 23572127181
BaseRepresentation
bin1010101111011…
…1101000111000
310010210000011221
42223313220320
543013221040
64245401424
71054646200
oct253675070
9103700157
1045054520
1123483145
1213109274
1394463a4
145dab400
153e4e74a
hex2af7a38

45054520 has 96 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 15240960.

The previous prime is 45054509. The next prime is 45054521. The reversal of 45054520 is 2545054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45054521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248830 + ... + 249010.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 245054520 is an apocalyptic number.

45054520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

45054520 is an abundant number, since it is smaller than the sum of its proper divisors (74453960).

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

45054520 is a wasteful number, since it uses less digits than its factorization.

45054520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 45054520 is about 6712.2663832717. The cubic root of 45054520 is about 355.8329182712.

Adding to 45054520 its reverse (2545054), we get a palindrome (47599574).

It can be divided in two parts, 4505 and 4520, that added together give a square (9025 = 952).

The spelling of 45054520 in words is "forty-five million, fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 127 140 181 196 245 254 280 362 392 490 508 635 724 889 905 980 1016 1267 1270 1448 1778 1810 1960 2534 2540 3556 3620 4445 5068 5080 6223 6335 7112 7240 8869 8890 10136 12446 12670 17738 17780 22987 24892 25340 31115 35476 35560 44345 45974 49784 50680 62230 70952 88690 91948 114935 124460 160909 177380 183896 229870 248920 321818 354760 459740 643636 804545 919480 1126363 1287272 1609090 2252726 3218180 4505452 5631815 6436360 9010904 11263630 22527260 45054520