Search a number
-
+
45382330 = 2573101131
BaseRepresentation
bin1010110100011…
…1101010111010
310011101122212001
42231013222322
543104213310
64300411214
71060513000
oct255075272
9104348761
1045382330
1123687464
1213246b0a
13952c666
146054a70
153eb693a
hex2b47aba

45382330 has 64 divisors (see below), whose sum is σ = 96940800. Its totient is φ = 15288000.

The previous prime is 45382301. The next prime is 45382331. The reversal of 45382330 is 3328354.

It is a super-3 number, since 3×453823303 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45382331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346365 + ... + 346495.

It is an arithmetic number, because the mean of its divisors is an integer number (1514700).

Almost surely, 245382330 is an apocalyptic number.

45382330 is an abundant number, since it is smaller than the sum of its proper divisors (51558470).

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

45382330 is a wasteful number, since it uses less digits than its factorization.

45382330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 45382330 is about 6736.6408543131. The cubic root of 45382330 is about 356.6938295129.

It can be divided in two parts, 45 and 382330, that added together give a triangular number (382375 = T874).

The spelling of 45382330 in words is "forty-five million, three hundred eighty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 101 131 202 245 262 343 490 505 655 686 707 917 1010 1310 1414 1715 1834 3430 3535 4585 4949 6419 7070 9170 9898 12838 13231 24745 26462 32095 34643 44933 49490 64190 66155 69286 89866 92617 132310 173215 185234 224665 346430 449330 463085 648319 926170 1296638 3241595 4538233 6483190 9076466 22691165 45382330