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45203040 = 2532531391
BaseRepresentation
bin1010110001101…
…1111001100000
310011001112220200
42230123321200
543032444130
64252505200
71056135201
oct254337140
9104045820
1045203040
1123574793
121317b200
139498b7c
1460095a8
153e7d760
hex2b1be60

45203040 has 72 divisors (see below), whose sum is σ = 154260288. Its totient is φ = 12053760.

The previous prime is 45203021. The next prime is 45203057. The reversal of 45203040 is 4030254.

It is a happy number.

45203040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×452030403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14256 + ... + 17135.

It is an arithmetic number, because the mean of its divisors is an integer number (2142504).

Almost surely, 245203040 is an apocalyptic number.

45203040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45203040 is an abundant number, since it is smaller than the sum of its proper divisors (109057248).

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

45203040 is a wasteful number, since it uses less digits than its factorization.

45203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31412 (or 31401 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45203040 is about 6723.3206081519. The cubic root of 45203040 is about 356.2234846378.

Adding to 45203040 its reverse (4030254), we get a palindrome (49233294).

The spelling of 45203040 in words is "forty-five million, two hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 31391 62782 94173 125564 156955 188346 251128 282519 313910 376692 470865 502256 565038 627820 753384 941730 1004512 1130076 1255640 1412595 1506768 1883460 2260152 2511280 2825190 3013536 3766920 4520304 5022560 5650380 7533840 9040608 11300760 15067680 22601520 45203040