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45216240 = 2435188401
BaseRepresentation
bin1010110001111…
…1000111110000
310011002020000120
42230133013300
543033404430
64253050240
71056221526
oct254370760
9104066016
1045216240
11235836a3
1213186980
1394a1b94
146010316
153e82610
hex2b1f1f0

45216240 has 40 divisors (see below), whose sum is σ = 140171088. Its totient is φ = 12057600.

The previous prime is 45216221. The next prime is 45216247. The reversal of 45216240 is 4261254.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45216240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45216247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93961 + ... + 94440.

Almost surely, 245216240 is an apocalyptic number.

45216240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45216240 is an abundant number, since it is smaller than the sum of its proper divisors (94954848).

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

45216240 is a wasteful number, since it uses less digits than its factorization.

45216240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188417 (or 188411 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45216240 is about 6724.3021942801. The cubic root of 45216240 is about 356.2581555535.

Adding to 45216240 its reverse (4261254), we get a palindrome (49477494).

The spelling of 45216240 in words is "forty-five million, two hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 188401 376802 565203 753604 942005 1130406 1507208 1884010 2260812 2826015 3014416 3768020 4521624 5652030 7536040 9043248 11304060 15072080 22608120 45216240