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45152320 = 265141101
BaseRepresentation
bin1010110000111…
…1100001000000
310010221222100011
42230033201000
543024333240
64251434304
71055534263
oct254174100
9103858304
1045152320
112353a674
1213155994
13947ba65
145dd4cda
153e6d6ea
hex2b0f840

45152320 has 28 divisors (see below), whose sum is σ = 107519724. Its totient is φ = 18060800.

The previous prime is 45152311. The next prime is 45152329. The reversal of 45152320 is 2325154.

It is an interprime number because it is at equal distance from previous prime (45152311) and next prime (45152329).

It can be written as a sum of positive squares in 2 ways, for example, as 32535616 + 12616704 = 5704^2 + 3552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45152291 and 45152300.

It is not an unprimeable number, because it can be changed into a prime (45152329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70231 + ... + 70870.

Almost surely, 245152320 is an apocalyptic number.

45152320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45152320 is an abundant number, since it is smaller than the sum of its proper divisors (62367404).

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

45152320 is a wasteful number, since it uses less digits than its factorization.

45152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141118 (or 141108 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45152320 is about 6719.5476038198. The cubic root of 45152320 is about 356.0902014416.

Adding to 45152320 its reverse (2325154), we get a palindrome (47477474).

The spelling of 45152320 in words is "forty-five million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 141101 282202 564404 705505 1128808 1411010 2257616 2822020 4515232 5644040 9030464 11288080 22576160 45152320