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45233088 = 2632310243
BaseRepresentation
bin1010110010001…
…1001111000000
310011010002010120
42230203033000
543034424323
64253300240
71056321615
oct254431700
9104102116
1045233088
112359531a
1213194680
1394a9754
14601650c
153e875e3
hex2b233c0

45233088 has 56 divisors (see below), whose sum is σ = 124894848. Its totient is φ = 14420736.

The previous prime is 45233087. The next prime is 45233131. The reversal of 45233088 is 88033254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45233087) 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 7 ways as a sum of consecutive naturals, for example, 706 + ... + 9537.

Almost surely, 245233088 is an apocalyptic number.

45233088 is a gapful number since it is divisible by the number (48) 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 45233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62447424).

45233088 is an abundant number, since it is smaller than the sum of its proper divisors (79661760).

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

45233088 is a wasteful number, since it uses less digits than its factorization.

45233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10281 (or 10271 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 45233088 is about 6725.5548469996. The cubic root of 45233088 is about 356.3023984484.

The spelling of 45233088 in words is "forty-five million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 10243 20486 30729 40972 61458 81944 122916 163888 235589 245832 327776 471178 491664 655552 706767 942356 983328 1413534 1884712 1966656 2827068 3769424 5654136 7538848 11308272 15077696 22616544 45233088