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45223040 = 275193719
BaseRepresentation
bin1010110010000…
…0110010000000
310011002120100102
42230200302000
543034114130
64253141532
71056250412
oct254406200
9104076312
1045223040
1123588815
121318a8a8
1394a4cc5
1460129b2
153e84645
hex2b20c80

45223040 has 64 divisors (see below), whose sum is σ = 113832000. Its totient is φ = 17132544.

The previous prime is 45223039. The next prime is 45223063. The reversal of 45223040 is 4032254.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10301 + ... + 14019.

It is an arithmetic number, because the mean of its divisors is an integer number (1778625).

Almost surely, 245223040 is an apocalyptic number.

45223040 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 45223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56916000).

45223040 is an abundant number, since it is smaller than the sum of its proper divisors (68608960).

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

45223040 is a wasteful number, since it uses less digits than its factorization.

45223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45223040 is about 6724.8078039450. The cubic root of 45223040 is about 356.2760136950.

Adding to 45223040 its reverse (4032254), we get a palindrome (49255294).

The spelling of 45223040 in words is "forty-five million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 3719 6080 7438 12160 14876 18595 29752 37190 59504 70661 74380 119008 141322 148760 238016 282644 297520 353305 476032 565288 595040 706610 1130576 1190080 1413220 2261152 2380160 2826440 4522304 5652880 9044608 11305760 22611520 45223040